Solve this problem?
step by step​

Solve This Problem?step By Step

Answers

Answer 1

Answer:

[tex]x = \sqrt{87}[/tex]

Step-by-step explanation:

So, we need to use a bit of an unorthodox method here. We will use the Pythagorean theorem to find x. We will first start by finding out what all of our sides are. In the theorem, it's  [tex]a^{2} + b^{2} = c^{2}[/tex] . We know that the b is x, and the c is 16, but we need to know what a is. a is not 18. We need to find the distance starting at the right triangle. To do that, we must subtract 5 from 18, giving us 13. So, we have:

[tex]13^{2} + x^{2} = 16^{2}[/tex]

Now, we will simplify the equations:

[tex]169 + x^{2} = 256[/tex]

Then, we will subtract 169 from both sides, giving us:

[tex]x^{2} = 87[/tex]

Square rooting both sides gives us:

[tex]x = \sqrt{87}[/tex]

And we cannot simplify further because 87's prime factorization doesn't let it have any ways to get out of the square root.  

Hope this helped


Related Questions

Task #2: Jack makes $32 when he sells 4 pumpkins. How many pumpkins will he have to sell to make $48? If Jack finds that he has $120 at the end of the day, how many pumpkins did he sell?​

Answers

Answer:

1. 6
2. 15

Step-by-step explanation:

4 pumpkins: $32
=> 1 pumpkin = 32 : 4 = $8
- He will have to sell 48 : 8 = 6 pumpkins to make $48

- He sold: 120 : 8 = 15 pumpkins that day

On a negatively skewed curve, which is true?

Answers

The answer is On a negatively skewed curve ,The mean is lower than the median, which is lower than the mode

What is Negatively skewed curve?

When a distribution is negatively skewed in statistics, more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

A longer or fatter tail on the left side of the distribution is referred to as negative skew, whereas a longer or fatter tail on the right is referred to as positive skew. The direction or weight of the distribution is indicated by these two skews.

The distribution's mean, median, and mode are referred to as its central tendency. The fact that the usually skewed data's mean, median, and mode are all equal illustrates how equally distributed wealth and income are, as well as the importance of government initiatives and economic growth.Because the negative side is so weighted, the distributions have a large gap. The data, for instance, includes income distributionin negatively skewed distribution, data shows the unequal distribution, the central tendency shows as under:

Mode > Median > Mean.

Examples of negatively skewed curveUniversity exams. The tests are the same, yet a small fraction of students receive zero, average, or high percentage scores, indicating a negative skewed distribution of the data.The human Life cycle ,As many people live ordinary lives, some live very short lives, and some live very long lives in terms of age, the human life cycle is another illustration of a negatively skewed distribution.What causes a negatively skewed distribution?

When the long tail is on the distribution's left side, the distribution is said to be left skewed. They are also referred to as negatively skewed by statisticians. Probabilities taper off more slowly for decreasing values, which causes this circumstance.

To know more about Negatively skewed curve refer to:

https://brainly.com/question/15380046

#SPJ4

Is 8 15 17 are Pythagorean triples?

Answers

No, 8, 15, 17 are not Pythagorean triples.

No, 8 15 17 are not Pythagorean triples. A Pythagorean triple is a set of three positive integers a, b, and c such that a2 + b2 = c2. In other words, the sum of the squares of two integers must equal the square of the third integer.

In the case of 8 15 17, if we calculate the sum of the squares of the two smaller integers, 8 and 15, we get

[tex]8^2 + 15^2 = 64 + 225 = 289[/tex].

This does not equal the square of the third integer,

[tex]17^2 = 289,[/tex]

so 8 15 17 are not Pythagorean triples.

Learn more about Pythagorean triples here:

https://brainly.com/question/29164126

#SPJ4

Think back to the pyramids in Egypt. For a Social Studies project, you created a scale figure of one pyramid. The dimensions are shown. How much paint will you need to paint the entire pyramid for your project?

Answers

The surface area of the pyramid is 568  square inches.

What is the surface area of a square pyramid?

The surface area of the square pyramid is defined as the total area covered by the surfaces required to make the square pyramid. The area is the space occupied by the square pyramid in two-dimensional planes.

The formula to calculate surface area will be calculated by the formula below,

SA=B+12(P × l)

Here, B is the area of the base, P is the perimeter of the base, and l is the slant height.

SA = ( 8 x 8 ) + 12 ( 8 x 4 + 10 )

SA = 64 + 12 ( 32 + 10 )

SA = 64 + 12 x 42

SA = 568 square inches

To know more about surface area follow

https://brainly.com/question/22744289

#SPJ1

What is the sum of 3 sides?

Answers

The sum of the three sides of the triangle is 24.

The sum of three sides of a triangle is calculated using the formula S = a + b + c, where a, b, and c are the lengths of each side of the triangle.

To calculate the sum of three sides of a triangle, first measure the lengths of each side and assign a value for each side. For example, if the lengths of the sides are 6, 8, and 10 respectively, then the values for each side would be a = 6, b = 8, and c = 10.

Next, plug in the values of the sides into the formula S = a + b + c to calculate the sum:

S = 6 + 8 + 10

S = 24

Therefore, the sum of the three sides of the triangle is 24.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ4

Write an equivalent expression by distributing the "-" sign outside the parentheses:

-(-10p - 0. 7q) – 4. 6

Answers

After distribution of the negative sing in the parenthesis, the equivalent expression is 10.7p - 4.6

The expression that is given to us is -(-10p - 0. 7q) – 4. 6.

Now, we know that the meaning of equivalent expression is the it has the same value as that of the original expression.

We have to use the "-" and distribute it over the expression to form an equivalent relation,

So, we know,

-(-10p - 0.7q) – 4.6

Here, p is a constant,

Multiplying the negative sign inside of the bracket,

= (-(-10p)-(-0.7p)-4.6

= 10p + 0.7p - 4.6

= 10.7p - 4.6

So, the equivalent expression is 10.7p - 4.6.

To know more about mathematical expressions, visit,

https://brainly.com/question/1859113

#SPJ4

Which statement is correct?

Answers

Answer:

B. ST and TK intersect at a 90 degree angle.

I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.

Step-by-step explanation:

Hope it helps! =D

The answer here is B ST & TK intersecting at 90°

How many triangles are there in the following figure 18 17 16 15?

Answers

There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.

The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.

However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.

Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ4

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly.After 11months he weighed 140 Kilograms. He gained weight at rate of 5.5 kilograms per month.
Let y represent the sumo wrestler’s weight (in kilograms)after x month.
Complete the equation for the relationship between the weight and number of months.

Answers

The equation that shows the relationship between the weight and number of months. y =  79.5 + 5.5x

What is weight ?

In science and technology, the weight of an object is the force acting on an object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on an object. Others define weight as a scalar quantity, the magnitude of  gravitational force. Still others define it as the size of the reaction force applied to the body by mechanisms resisting the influence of gravity: weight is a quantity measured, for example, by a spring balance.

Given that ; Total Month = 11 months

Gained weight at the rate =  5.5 kilograms per month.

Assume initial weight W,

The initial weight + total month  x rate = 140

w + 11 x 5.5 = 140

w = 79.5

if y is total weight after x months

y = 79.5 + 5.5x

To learn more about weight, visit;

brainly.com/question/14375094

#SPJ1

What is an unsolvable problem?

Answers

As a result, it may be shown that the answer to the algorithm problem at hand is a halting problem, which is indecidable and thus impossible to solve.

Algorithm : what is it ?

No matter the circumstance, algorithms are fundamentally problem solvers of expression ; they exist to identify, resolve, and frequently automate of solution to a specific problem. Algorithms are frequently introduced in area introductory textbooks by characterizing them as "a series of steps to complete a problem."

Here,

one of the most common problems that hasn't been solved is the stopping problem. It asks the following question:

Does M come to a standstill when given the input w for any Turing machine with the parameters alphabet = a, b, and any string w over

It can be shown that the halting problem cannot be resolved since it is indecisive.

As a result, it may be shown that the answer to the algorithmic problem at hand is a halting problem, which is indecidable and thus impossible to solve.

To know more about algorithm , visit:

brainly.com/question/29289479

#SPJ4

F(1)=120,f(n)=f(n-1)+_n>_2

Answers

The value of next two terms are,

⇒ 0 and - 60

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The values are,

⇒ f (1) = 120,

⇒ f (2) = 60

And, The function is,

⇒ f (n) = f (n - 1) + ___

For n ≥ 2

Now,

Since, The values are,

⇒ f (1) = 120,

⇒ f (2) = 60

And, The recursive formula is,

⇒ f (n) = f (n - 1) + b

For n ≥ 2

Substitute n = 2;

⇒ f (2) = f (2 - 1) + b

⇒ 60 = f (1) + b

⇒ 60 = 120 + b

⇒ b = 60 - 120

⇒ b = - 60

So, The recursive formula is,

⇒ f (n) = f (n - 1) - 60

Substitute n = 3;

⇒ f (3) = f (3 - 1) - 60

⇒ f (3) = f (2) - 60

⇒ f (3) = 60 - 60

⇒ f (3) = 0

Substitute n = 4;

⇒ f (4) = f (4 - 1) - 60

⇒ f (4) = f (3) - 60

⇒ f (4) = 0 - 60

⇒ f (4) = - 60

Thus, The next two term are 0 and - 60.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ1

Ali is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures he needs. He needs a total of at least 1,000 signatures before he can submit the petition. Ali wants to collect the same number of signatures each week. Write and solve the inequality for the situation

Answers

An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000

and the minimum number of signatures he needs to collect = 80

Given that Ali wants to collect the same number of signatures each week.

Assume that Ali collects m number of signatures each week.

He has 6 weeks to collect the remaining signatures he needs.

So, by unitary method in 6 weeks the number of signatures he would collect:

6 × m

He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.

so, we get an inequality.

520 + 6m ≥ 1000

We solve above inequality.

6m ≥ 1000 - 520

m ≥ 480/6

m ≥ 80

Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.

Learn more about an inequality here:

https://brainly.com/question/19003099

#SPJ4

Please help me respond this

Answers

The closest estimate of x when the functions satisfy the condition f(x) = g(x) is 1.65

What is a function?

Function is a mathematical law that establishes the relationship between an independent variable and a dependent variable.

Given,

[tex]f(x) =[/tex] [tex]\log\x_{3} (2x)[/tex]

[tex]g(x) = -4x^{2} + 3x +7[/tex]

Now plotting both the graphs in Desmos, we got the result as in the below figures.

Given f(x) = g(x)

So from the graphs, we can find an intersecting point. This intersecting point is common to both f(x) and g(x)

Therefore from the graph, the closest estimate of x is 1.65.

To learn more about functions, follow the link below.

https://brainly.com/question/17043948

#SPJ1

What is Y 1 on a graph?

Answers

The graph of y is a straight line parallel to the x−axis through the point (0,1)

Now, According to the question:

Let's know:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The equation is Y = 1

A straight line in slope (m) and intercept (c) form is:

y = mx + c

y is a straight line of slope 0 and y- intercept of 1

y = 0.x + 1

y = 1

Hence, the graph of y is a straight line parallel to the x−axis through the point (0,1)

Learn more about Graph at:

https://brainly.com/question/11591663

#SPJ4

Can somebody help me solve this equation? Thanks.

Answers

Answer:

15w^2

Step-by-step explanation:

The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2

Refer to the attached image.

12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.

Answers

On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207

what is arithmetic progression?

There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.

9,15,25..............

15-9 = 6

25-15 = 10

a4 - 25 = 14 => a4 = 39

frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.

a5-39 = 18 => a5 = 57

a6-57 = 22 => a6 79

...

...

...

...

...

a10 - 169 = 38 => a10 = 207

To know more about arithmetic progression visit:

brainly.com/question/16947807

#SPJ1

Rewrite the expression (2t+6)+7t in the simplest form show your work.

Answers

Answer:

14t²+42t

Step-by-step explanation:

So you're basically going to use distributive property.

(2t+6)+7t is the same as, (2t)7t + 6(7t).

2t(7t)= 14t² and 6(7t)= 42t.

Combine the two answers and you get 14t²+42t.

14t²+42t is the simplest form you can get to.

what is the difference in the volumes, in cubic inches, of two spheres, one with a radius of 3 inches and the other with a radius of 5 inches.

Answers

The difference in the volumes of the sphere is 410.29 inches³.

What is the difference in the volumes?

A sphere is a three dimensional circle in which each point on the circumference is equidistant from its center. The volume of a three-dimensional object is the amount of space in the object.

The formula for the volume of the sphere = 4/3πr³

Where:

π = 3.14r = radius

Difference in the volumes = volume of the larger sphere - volume of the smaller sphere

(4/3 x 5³ x 3.14) - (4/3 x 3³ x 3.14)

523.33 - 113.04 = 410.29 inches³

To learn more about spheres, please check: https://brainly.com/question/29076174

#SPJ1

How do you describe a logarithmic function?

Answers

A logarithmic function is a type of inverse function.

A logarithmic function is a type of inverse function that is commonly used in mathematics and science. It is typically written in the form of y = log base b (x), where b is the base of the logarithm, and x is the input value. The most common bases for logarithms are 10 (common logarithm) and e (natural logarithm).

The logarithmic function is the inverse of the exponential function with base b. This means that if y = log base b (x) then x = b^y

One way to describe a logarithmic function is to say that it represents the exponent to which the base number must be raised in order to produce the input value x. For example, log base 10 of 100 is 2, because 10^2 = 100.

Another way to describe a logarithmic function is to say that it is a way of expressing very large or small numbers in a more manageable form. For example, instead of expressing a number like 10^9 as 1 billion, it can be expressed as 9 using a logarithm to base 10.

It is also important to note that logarithmic function have some key characteristics such as:

The domain of a logarithmic function is x>0, since the logarithm of a non-positive number is undefined.

The range of a logarithmic function is all real numbers.

The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.

A logarithmic function is increasing over its domain and concave down.

The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.

Overall, logarithmic functions are mathematical tools that allow us to simplify the representation and manipulation of very large and small numbers, and are used in many areas of science and engineering.

To learn more about logarithms visit: brainly.com/question/30085872

#SPJ4

Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose
to Chicago. If Benji's flight from Chicago to San Jose was 4.5 hours long, how long was his return
flight, in hours?
Choose 1 answer:
A
3.5
B 4
C 4.5
D
assroom
5

Answers

The time taken for his return flight, in hours could be  4 hours.

What is time ?

Time is defined as the sequence of events that occurs which can be from past through present or to future.

Given,

Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose to Chicago.

If Benji's flight from Chicago to San Jose was 4.5 hours long

let,

chicago to san jose = san jose  to chicago+0.5

4.5 - 0.5  = san jose to chicago

san jose to chicago  = 4 hours

Hence,  How  long was his return flight, in hours is 4 hours.

To learn more about time from the given link.

https://brainly.com/question/16963199

#SPJ1

Jordann is painting her kitchen. To get the color she wants, she mixes 6 parts red paint and 2 parts yellow paint.

1) Write the ratio of parts red paint to parts yellow paint as a fraction.

2) Then, write the unit rate of red paint to yellow paint. (How many parts of red paint does she need for every 1 yellow part?)

What color do you imagine her kitchen will be?!

Answers

Answer:

1. 6:2

2.for every 1 yellow paint, she needs 3 red paints

3.an orange

Step-by-step explanation:

1. It would be 6:2 because for every 2 parts yellow she needs 6 parts red

2. Since the ratio is first 6:2, just divide it by 2 since there is 2 yellow and it's asking how much red you need for 1 yellow

How do you find the X and y-intercept of a function?

Answers

To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.

The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).

The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).

Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.

Learn more about Graphs here:

https://brainly.com/question/28827536


#SPJ4

Put these numbers in order from least to greatest.

-9 11/20,0.25,9/20,9 1/25, 9

Answers

Answer:

From Least to Greatest

-9, 1/25, 0.25, 9/20, 11/20, 9

Step-by-step explanation:

Answer:

-9, 0.25, 9/20, 11/20, 9, 9 1/25

Step-by-step explanation:

You can convert everything in decimals or into fractions with a common denominator. Using what you have, you then put them in order.

I converted them all into decimals, getting:

-9, 0.55, 0.25, 0.45, 9, 9.04

Then I put them in order

-9, 0.25, 9/20, 11/20, 9, 9 1/25

What is a 7th interval?

Answers

A seventh interval is a chord that consists of a triad and the notes that form the seventh chord above the root of the chord. Unless otherwise stated, "7th chord" usually means the dominant 7th chord, i.e. major triad and minor 7th chord.

The 7th interval, simply called 'September', is the pitch difference between the root note and the 7th note of the diatonic scale.

Sounding the seventh above the root of the chord as his fourth note, along with the other three notes of the dominant chord, strengthens the "suspension" inherent in the function of the dominant chord, and the expected chord Increases mitigation of return to tonic.

So instead of playing "G-B-D" (Sol-Si-Re) as the dominant "C" (Do), we play "G-B-D-F" (Sol-Si-Re-Fa).

The harmonic power of the "7th interval" is so strong that some or all of his three other notes in the chord are omitted, allowing them to be visualized in the listener's ear .

In music theory, the minor seventh is one of two intervals spanning seven staff positions. It's the smaller of two sevenths, and it's minor because it spans ten semitones. A major seventh spans 11 degrees. For example, the interval from A to G is a minor seventh. This is because the G note is ten semitones above his A, and his seven staves from A to G. Diminished 7th and increased 7th have the same number of staves, but a different number of semitones (9 and 12 respectively).

Minor sevenths are rare in melodies (especially in openings), but more common than major sevenths. The most famous example, often used in theory classes, occurs between the first two words of the phrase "There's a place for us" in the West Side Story song "Somewhere." Another well-known example occurs between his two notes at the beginning of the introduction to the music of the main theme of Star Trek: The Original Series.

Complete Question:

What is personification class 7th?

Learn more about Interval:

https://brainly.com/question/18914334

#SPJ4

BOUNDS QUESTION GCSE MATHS - A race is measured to have distance of 10.6km, correct to the next0.1km. Sam runs the race in a time of 31 minutes 46seconds, correct to the nearest second.

Sam's average speed in this race is Vkm/hour.

By considering bounds, calculate the value of Vkm to a suitable degree of accuracy. You must show your work and get reasons for your answer. [5 MARKS]

Answers

The average speed of Sam's race car is equal to 20 kilometers per hour.

How to determine the average speed of a race car

In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:

v = s / t

Where:

s - Distance, in kilometers.t - Time, in hours.

First, convert time into hours:

t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)

t = 0.529 h

Second, calculate the average speed:

v = (10.6 km) / (0.529 h)

v = 20.038 km / h

v = 20 km / h

To learn more on average speed: https://brainly.com/question/12322912

#SPJ1

Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem

Answers

On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

11g +4= 3r-6

g = 0

3r = -10

r = -10/3

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

A taste test asks people from Texas and California which pasta they prefer brand A or brand B. This table shows the results. Brand A Brand B Total 125 150 105 275 45 Texas California Total 80 90 170 60 A person is randomly selected from those tested. What is the probability that the person is from California, given that the person prefers brand A? Round your answer to two decimal places

Answers

Therefore , the solution of the given problem of probability comes out to be  thus brand A is more prefer by the person as probability of B IS 0.43.

Define probability.

A probability is a number that represents the likelihood that a certain event will occur. Probabilities may be expressed as percentages

range from 0% to 100% or from 0 to 1.

Here,

Given :

Which brand of pasta do Texas and California prefer

Because brand B is preferred by 45 persons in Texas, the answer would be A.

There are 105 persons that favor brand B overall.

=> 45/105

=> 15/ 35

=> 0.42857...

So ,

rounded it would be 0.43,

thus brand A is more prefer by the person

Therefore , the solution of the given problem of probability comes out to be thus brand A is more prefer by the person as probability of B IS 0.43.

To know more about probability visit:

brainly.com/question/30034780

#SPJ4

Determine if the triangles can be proved congruent by SSS, SAS, ASA, AAS, or HL.
SSS

Answers

The triangles can be proved congruent by SAS theorem.

Properties of congruent triangles.

Two or more triangles are said to be congruent if and only if their corresponding length of sides and measure of internal angles are equal. Therefore, congruency is a property of equality of the triangles.

To prove that two or more triangles are congruent, then their corresponding sides are compared if they are equal. Also the measure of their corresponding internal angles are considered if they are equal.

Therefore. in the given question, to determine if the triangles can be proved congruent by the appropriate theorem;

It can be seen that the two sides of the triangles are equal. Also the measure of their included angles are equal. Therefore, the triangles can be proved to be congruent by SAS.

Learn more about the properties of congruent triangles at https://brainly.com/question/3999145

#SPJ1

A ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km. Find the distance traveled from the starting point to the ending point

Answers

The distance traveled from the starting point to the ending point is 30.35 km.

What is a bearing?

A bearing tracks the rotation of an angle around the north line in a clockwise fashion. The line connecting the compass's centre to a location and measuring its bearing in degrees as it moves clockwise from north is known as the bearing.

The ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km.

The x-coordinate of the final point is -

50 cos (27°) + 140 cos (117°) = -19

The y-coordinate of the final point is -

50 sin (27°) + 140 sin (117°) = 23.67

The distance from (0,0) to the final point is as follows -

d = √(-19)^2+(23.6)^2)

= √(921.27)

= 30.35 km

Therefore, the distance traveled is 30.35 km.

To learn more about bearing from the given link

https://brainly.com/question/24340249

#SPJ1

The coordinates of a triangle are: R(-4,4) S(-2,-2) T(2, 3) Brian determined A RST was a scalene triangle, but he wanted to the find the lengths of the three sides. Complete the table to determine the three side lengths of ARST. 37 38 140 141 length of RS length of ST length of TR​

Answers

The length of the sides RS, ST and TR are √72, √41 and √37 in the scalene triangle RST.

The distance between any two points A(a,b) and B(c,d) in the plane is given by,

AB = √((c-a)²+(d-b)²)

Here, it is given that the points of the triangle are R(-4,4) S(-2,-2) T(2, 3).

The triangle is scalene so length of every side is different.

Now, Using the above formula,

RS = √((2+4)²+(-2-4)²)

RS = √(36+36)

RS = √72

ST = √((2+2)²+(3+2)²)

ST = √(16+25)

ST = √41

TR = √((2+4)²+(3-4)²)

TR = √(36+1)

TR = √37

So, Brian is correct, the triangle is a scalene triangle.

To know more about triangle, visit,

https://brainly.com/question/17335144

#SPJ4

Other Questions
9 MINUTES LEFT ON MY QUIZ HELP!Read the excerpt from "On Becoming an Inventor" by Dean Kamen.When I was twelve years old and Barton, my older brother, was around fifteen, we took over the family basement. At first, I made a darkroom for developing pictures, and Bart was using it as his lab where he was raising about one hundred white rats, removing their thymus glands, and trying to figure out the glands' dysfunction. He wanted pictures taken of his experiment, doing the surgery on rats, and since I already had a darkroom, I took the pictures, though somewhat reluctantly. I didn't like the blood.Which part of the excerpt expresses an opinion?we took over . . .I made a darkroom for developing pictures . . .he was raising about one hundred white rats . . .I didn't like the blood. A bullet traveling at 5.0 x10^2 meters per is brought to rest by an impulse of 50 Newton*seconds. Find the mass of the bullet. What is .15 written as a rational number Why did the British won the Battle of Britain? How many moles of aspartame are present in 4.50 mg mg of aspartame? Which of the following is not one of the philosophy principles followed by Division I institutions:A) strive for regional and national prominenceB) maximize the number and variety of athletic opportunities available to studentsC) strive to finance its athletics program through revenues generatedD) recognize the dual objectives of serving both the university or college community and the general public What is the length of leg y of the right triangle? In addition to movement, arthropod appendages can be usedfora feedingb defensec sensory receptiond all of the above theories of development suggest that the way in which a child handles information is critical to his or her development. Explain how you decided to divide your wholes into fractional parts and how you decided where your number scale should begin and end. Due 1-2-23 The amount of stored fat in a given individual is the result of all the following EXCEPT... A) age. B) climate. C) metabolism. D) sex. What is a 123 triangle? 4. What does Grover mean when he says, "there's something strange going on with thisquest" on page 191? What is the main idea of Mendel's principle of independent assortment? Write the equation of the perpendicular bisectors of the line AB given: A(1,3) & B(-3,5) Approximately 1.5 minutes of intense exercise will obtain ATP mostly from which process (think sprinting):a. ATPb. Anaerobic glycolysisc. Phosphocreatined. Aerobic glycolysis 3.The Impact of the Atlantic Slave Trade on the New WorldWhatever the effect of slavery on Africa, there can be no doubt that black slaves [enslaved Africans]played a crucial part in the economic development of the New World, above all by making up forshortages of labour. The arrival of Europeans in the Americas had brought diseases that decimated[destroyed] local populations, which reduced the potential for securing labour from that source; and oftentoo few Europeans chose to migrate to the Americas to meet the demand for labour. This was particularlytrue in Brazil and the Caribbean, where people of African origin became by far the largest section of thepopulation; it was also the case in parts of North America, although here white people outnumbered blackpeople.Black slaves were especially important as a labour supply for the "plantation" agriculture that developedin the New World, first in Brazil, and later in the Caribbean and the southern parts of North America. Theplantation system had begun in medieval times on Mediterranean islands such as Crete and Cyprus - itwas an unusually sophisticated form of agricultural operation for its day, producing sugar for theinternational market at a time when most European agriculture concentrated on the basics of localsubsistence. But from its inception [beginning], it used slaves; and when plantations were set up in theAmericas, black slaves became the backbone of the workforce....Source: Will Hardy, "The Slavery Business," BBCEnduring Issue: a challenge or problem that has been debated or discussed across time. It is longlasting and/or has affected a lot of people.Enduring Issues List To Choose From: Human Rights Violations, Population Growth, Power,Impact of Cultural Diffusion, Impact of Migration, Impact of Trade, Slavery or Other1. Which Enduring Issues does this document make me think of and why, using evidence from thedocument? Please quote the document. What do these two changes have in common?a slice of banana turning brownacid rain weathering a marble statueSelect all that apply.Both are only physical changesBoth are only chemical changesBoth are caused by heatingBoth are caused by cooling Fill in the missing information in the table.Note: The cylinder and cone in each row have the same dimensions.(I already solved some of them just give me the answers to the parts where I put the zeros, and please hurry) Which of the following emotional reactions is most likely to precede any conscious thinking? a. hatred b. love c. fear d. depression e. regret.