Answers
The pair of triangles are congruent. using the angle side angle (ASA) congruency theorem
What are congruent triangles?Two triangles are said to be congruent if all the three sides are equal to each other and all the three angles are equal to each other.
The angle side angle (ASA) congruency theorem states that two triangles are congruent if two angles and an included side of one triangle is equal to two angles and an included side of another triangle.
From the diagram, for both triangles, two angles and an included side is equal to that of the other triangle.
The pair of triangles are congruent.
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Related Questions
Mario's car cost $15,999. Each year the car's value decreases by $1,550. This relationship is described by the equation V = 15,999 − 1,550t, when V is the value of the car and t is the age of the car in years. What is the value of his car after 5 years?
Answers
The value of Mario's car after 5 years is $8,249.
What is the value of the car after 5 years?Deprecation is when the value of an asset declines with the passage of time as a result of wear and tear.
V = 15,999 − 1,550t
V = 15,999 − 1,550(5)
V = 15,999 - 7,750
V =$8,249
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The average amount of money held by each child in a group of 5 is $0.50. If one of the children loses a quarter, what is the new average of money held by each child
Answers
Answer:
$0.45.
Step-by-step explanation:
Total amount of money held by all 5 children
= 5 * 0.50 = $2.50.
After 0.25 is lost the total = $2.25.
So the new average = 2.25 / 5
= $0.45.
Determine the volume of a cube with a side length of 5 1/3 in.
Answers
Answer:
151 19/27 in^3
Step-by-step explanation:
volume of cube is (side length)^3
(5 1/3)^3 = (16/3)^3 = 4096/27 = 151 19/27
Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO
Prove: MNOL is a parallelogram.
Quadrilateral L M N O is shown. Sides M N and L O are congruent. Sides L M and O N are congruent.
Complete the paragraph proof.
We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △
. By CPCTC, ∠LMO ≅ ∠ and ∠NMO ≅ ∠LOM. Both pairs of angles are also , based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.
Answers
The answers to the quadrilateral are ONM, NOM, and alternate interior angles.
How to explain the quadrilateral?Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.
Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,
∠LMO≅∠NOM and ∠NMO≅∠LOM.
Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.
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Answer: ONM
NOM
alternate interior angles
Step-by-step explanation: Complete the paragraph proof.
We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △
✔ ONM
. By CPCTC, ∠LMO ≅ ∠
✔ NOM
and ∠NMO ≅ ∠LOM. Both pairs of angles are also
✔ alternate interior angles
, based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.
if the area of a rectangle is represented by 25x^3y^6 and its width is represented by 10xy, express the length of the rectangle in terms of x and y
Answers
The length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is 2.5x²y⁵.
The area of a figure is the total space enclosed in two dimensions within its boundary.
The area of a rectangle is given as, area = length*width.
In the question, we are given that the area of a rectangle is represented by 25x³y⁶ and its width is represented by 10xy, and are asked to express the length of this rectangle in terms of x and y.
We know that the area of a rectangle is given as, area = length*width.
Substituting the known values in the equation, we get:
25x³y⁶ = length*10xy.
Rearranging this equation, we get:
length = 25x³y⁶/10xy = (5x²y⁵)/2 = 2.5x²y⁵.
Thus, the length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is 2.5x²y⁵.
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How many different 2-digit numbers are there with the following property: it is evan and its digits are distinct?
Answers
By counting all the even 2-digit numbers between 10 and 100, there are 41 even and distinct digits.
What is an even number?An even number can be defined as a type of number which is divisible by two (2) without any remainder.
How to determine this 2-digit number?Since this 2-digit numbers are even and its digits are distinct, we can infer and logically deduce the following points:
They are between 10 and 100.They are not repeated.They must contain two digits only.By counting all the even 2-digit numbers between 10 and 100, there are 41 even and distinct digits.
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What percentage of its total accounts receivable does grainger feel are uncollectible at december 31, 2016?
Answers
Using percentage of its total accounts the $50,000 is the amount to be uncollectible. The amount of $50,000 will be reported as an allowance for uncollectible accounts for the Year 2 on December 31 in the balance sheet.
According to the question,
Under the approach of the balance sheet, the ending balance of the allowance for the uncollectible accounts is the percentage (%) of the ending balance of the accounts receivable.
The amount of uncollectible accounts should reflect the aggregate needed ending balance of the allowance which amounts to $50,000.
Hence, using percentage of its total accounts the $50,000 is the amount to be uncollectible.
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When I flip a coin, the outcome can be either heads or tails; it is uncertain. However, in a large number of flips, the distribution of heads and tails is very regular. We say that flipping a coin is Group of answer choices predictable. deterministic. none of the above. random.
Answers
If the distribution of heads and tails of a fair coin is very regular in a large number of flips, then flipping a fair coin is: D. random.
What is a fair coin?A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly flipped or tossed by anybody.
This ultimately implies that, the outcome of flipping a fair coin is generally going to produce only one of two results and these include the following:
HeadTailIn this context, we can infer and logically conclude that if the distribution of heads and tails of a fair coin is very regular in a large number of flips, then flipping a fair coin is considered as being random.
In conclusion, it is important to note that a fair coin is considered as being random when the distribution of heads and tails of a fair coin is very regular in a large number of flips.
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arrange the steps in the correct order to express cos3x in terms of cosx
Answers
The correct order to express cos3x in terms of cosx is; As shown in steps 1 to 9 below.
How to simplify Trigonometric Identities?The steps to simplify the trigonometric identities cos 3x in terms of cos x are as follows;
Step 1; cos x = cos(2x + x)
Step 2; cos(2x) cosx - sin(2x) sinx
Step 3; 1 - 2sin^2x(cosx) -(2sinxcosx)sinx
Step 4; cosx - 2sin²x cosx - 2sin²x cosx
Step 5; cosx - 4sin²x cosx
Step 6; cosx( 1 - 4sin²x)
Step 7; cosx{1 - 4(1 - cos²x)}
Step 8; cosx{-3 + 4cos²x}
Step 9; 4cos³x - 3cosx
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Which term describes the red curve in the figure below?
• A. Parabola
O B. Circle
• C. Hyperbola
O D. Ellipse
Answers
Answer:
the red curve is a hyperbola
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as +3 percentage points. What values do ​, ​, ​n, E, and p​ represent? If the confidence level is ​%, what is the value of ​?
Answers
The completion of the tabs are:
The value of [tex]\bar p[/tex] is the sample proportion.The value of [tex]\bar q[/tex] is found by evaluating [tex]1-\=p[/tex]The value of n is the sample size.The value of E is the margin of error.The value of p is the population proportion. α = 0.05.What is the margin of error.?You may calculate how many percentage points your findings will deviate from the actual population figure by using something called a margin of error.
In conclusion
The worth of p^ is the fraction of the sample.The worth of p^ is discovered by assessingThe sample size is given by the number n.The margin of error is expressed as E's value.The population percentage is represented by the value of p. α = 0.05.In conclusion,
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Which of the following is a characteristic of the circumcenter of a triangle? A. It is the center of the circle that can be inscribed in a given triangle. B. It is equidistant from all three sides of the triangle. C. It is equidistant from all the vertices in the triangle. D. It is the intersection of all three angle bisectors of the triangle.
Answers
Explanation
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
Giving away brainly for help ASAP
Answers
Answer:
[tex]g(f(x))=25x^2-15x-7[/tex]
domain: (-∞,∞)
Step-by-step explanation:
g of f means plug the function f(x) in to x in the function g(x)
[tex]g(f(x))=5(5x^2-3x-2)+3\\g(f(x))=25x^2-15x-10+3\\g(f(x))=25x^2-15x-7[/tex]
since this is a parabola with no interval, the domain (the graph on the x-axis from left to right) is all real numbers or (-∞,∞)
Please help me with this
Answers
Answer:
altitude: 16 cmbase: 12 cmStep-by-step explanation:
The given relation can be used with the formula for the area of a triangle to give an equation for the altitude or base.
SetupLet b represent the length of the base. Then the altitude (height) is (b+4). The area formula tells us the area is ...
A = 1/2bh
Using given values, the equation becomes ...
96 = 1/2b(b +4)
SolutionSimplifying the equation and multiplying by 2, we have ...
192 = b² +4b
Adding (4/2)² = 4 will complete the square.
196 = b² +4b +4 = (b +2)²
Taking the square root gives ...
14 = b +2 . . . . . . we are not interested in the negative root
12 = b . . . . . . . . subtract 2
16 = b+4 . . . . . find the altitude
The base is 12 cm; the altitude is 16 cm.
Anyone know?? I’d appreciate it.
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: (1.6 \times 10 {}^{5} ) \sdot(2 .3 \times {10}^{1} )[/tex]
[tex]\qquad \sf \dashrightarrow \: (1.6 \times 2.3) \sdot(10 {}^{5} \times 10 {}^{1} )[/tex]
[tex]\qquad \sf \dashrightarrow \: 3.68 \times 10 {}^{6} [/tex]
In the following table, the age (in years) of the respondents is given as the x value, and the earnings (in thousands of dollars) of the respondents are given as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
Answers
The required equation based on the information given is y =0.433x + 24.493
How to illustrate the information?It should be noted that one can simply copy and paste the data set into excel sheet
Then, use intercept and the slope formula to find slope and intercept. We will have
slope = SLOPE(y values, x values)
= 0.433
intercept = INTERCEPT(y values, x values)
= 24.493
Therefore, the required equation is y =0.433x + 24.493
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What is the 32nd term of an arithmetic sequence with a first term of 7 and a common difference of 4?
Select one:
a. 119
b. 123
c. 127
d. 131
Answers
Answer:
a₃₂ = 131
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 4 , then
a₃₂ = 7 + (31 × 4) = 7 + 124 = 131
pls answer fast , pls
Answers
Answer:
x is 14
1st is 14
2nd is 20
Step-by-step explanation:
4/7 (x ) = (34 - x )(2/5)
4x/7 + 2x/5 = 34 x 2/5 = 68/5
34x/35 = 68/5
x = 14
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The lengths of two sides of a triangle are shown below:
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
The perimeter of the triangle is 5x³+4x2 - x - 3.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points)
Part B: What is the length of the third side of the triangle? (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under
addition and subtraction? Justify your answer. (2 points)
(10 points)
Answers
Part A
[tex]3x^2 -2x-1+9x+2x^2 -3=\boxed{5x^2 + 7x-4}[/tex]
Part B
[tex](5x^3 +4x^2 - x-3)-(5x^2 + 7x-4)=\boxed{5x^3 - x^2 - 8x+1}[/tex]
Part C
No, because although they provide examples for specific polynomials being closed under addition and subtraction, there is a loss of generality.
I dentist the slope and a point on the line
Answers
Answer:
2/3 (0,-3) is one possible answer.
Step-by-step explanation:
y -1 = 2/3(x-6) We want to get this into the slope intercept form of a line. We want it to be in the form y = mx + b. Let's clear the fraction first by multiplying the whole equation through by 3.
3(y - 1) = 3[2/3(x - 6)]
3y -3 = 2(x -6)
3y - 3 = 2x -12
3y = 2x - 9 Now divide all the way through by 3 to get
y = 2/3x - 3
y = mx + b. The m part is the slope. In this equation the slope is 2/3
There are in infinite amount of points on a line. I do not know if they give you a picture or if you are just to create your own. I am going to create a point that have x = 0. I get to pick the point. I could pick any number. 0 is just usually really easy. So, if I substitute 0 for x I will get:
y = 2/3(0) - 3
y = 1 so my point is (0,-3)
Now that I think about it, I do not think that I would start out clearing the fraction even though it works. I think that I would do it like this"
y - 1 = 2/3(x - 6) Distribute the 2/3 through (x - 4) to get
y-1 = 2/3x -4 I can make -6 a fraction by putting it over 1. Now we have 2/3(-6/1) multiply across to get -12/3. A positive times a negative is a negative. -12 divided by 3 is -4.
y - 1 = 2/3x -4 now add 1 to both sides.
y = 2/3x -3
This market is a duopoly and the demand schedule as well as the total revenue is provided below. The number of customers you see and the total revenue is for the total market, not for an individual firm.
Answers
Answer:
??
Step-by-step explanation:
Several different roadways are in the same region as the railroad.
Part A: A highway's path can be found using the equation 2x+3y=21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the
highway, and explain completely. (5 points)
Part B: A turnpike's route is determined by the equation y=x2 Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary
work. (5 points)
Answers
There are 0 intersections between the railroad and the highway and there are 2 intersections between the railroad and the turnpike
The number of intersections there will be between the railroad and the highwayFrom the graph, we have the following points on the railroad
(x, y) = (3, 3) and (0, 5)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
This gives
m = (5 -3)/(0 - 3)
Evaluate
m = -2/3
The equation is then calculated as:
y = mx + b
This gives
y = -2/3x + b
Substitute (0, 5)
5 = -2/3 * 0 + b
This gives
b = 5
Substitute b = 5 in y = -2/3x + b
y = -2/3x + 5
Multiply through by 3
3y = -2x + 15
Rewrite as:
2x + 3y = 15
The equation of the highway's path is
2x+3y=21
So, we have:
2x+3y=21
2x + 3y = 15
Subtract the equations
2x - 2x + 3y - 3y = 21 - 15
Evaluate
0 = 6
The above equation is false because 0 and 6 are not equal.
This means that the system of equations have no solution
Hence, there are 0 intersections between the railroad and the highway.
How many intersections there will be between the railroad and the turnpike?Here, we have
y = x^2 and 2x + 3y = 15
Substitute y = x^2 in 2x + 3y = 15
2x + 3x^2 = 15
Rewrite as:
3x^2 + 2x - 15 = 0
Calculate the discriminant using
d =b^2 - 4ac
This gives
d = 2^2 - 4 * 3 * -15
Evaluate
d = 184
The discriminant d is greater than 0.
This means that the equation has 2 real solutions
Hence, there are 2 intersections between the railroad and the turnpike
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A firework is launched from the ground at a speed of 160 feet per second. It’s height after t seconds is given by the polynomial -16t^2+160t. What is the height of the firework after 4 seconds?
Answers
16t^2=160t (Divided by 16)
t^2=10t (Divided by t)
t=10
Height
= Speed x Time
= 160 x 4
= 640 feet
The number of visitors to the homepage of an online magazine can be modeled by the equation y = 1100.74x − 1976.47, where x = 5 represents the year 2005 and y represent the total number of visitors.
FIRST ONE GETS BRAINLIEST OR 5 STARS
Answers
The number of visitors to the homepage of an online magazine in the year 2005 is 3527
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Let y represent the total number of visitors x years since 2000. Hence:
y = 1100.74x - 1976.47
In the year 2005 (x = 5):
y = 1100.74(5) - 1976.47 = 3527.23
The number of visitors to the homepage of an online magazine in the year 2005 is 3527
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A long oval is shown. Two lines are drawn where the sides are straight to form right angles.
How can you decompose the composite figure to determine its area?
as two semicircles and a rectangle
as two circles and a rectangle
as a circle and a square
as two semicircles and a trapezoid
Answers
The figure which is like a long oval can be decomposed to two semicircles and a rectangle so as to find the area.
Given a long oval and two lines are drawn where the sides are straight to form right angles.
We are required to find the way how we can decompose the composite figure to determine its area.
Area means the amount of space occupied by a two dimensional shape or object. The area of a figure can be decomposed to smaller figures so as to find the area.
The composed figure can be decomposed to two semicircles and a rectangle so as to find the area.
Hence the composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
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Answer:
a
Step-by-step explanation:
Question 5(Multiple Choice Worth 1 points)
(02.01 LC)
Which of the following tables represents a function?
Answers
its the first one
a system can only be a function if there is only one value of y for each value of x. there cannot be two or more values of y for one single value of x in a function.
Write the log equation as an exponential equation. You do not need to solve for x.
Answers
Answer:
x² - 5x + 17 = [tex](2x)^{3x}[/tex]
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{2x}[/tex] (x² - 5x + 17) = 3x , then
x² - 5x + 17 = [tex](2x)^{3x}[/tex]
[tex]Y-intercept = -4 Slope = 1/4[/tex]
Please help i need this
Answers
Answer:
Step-by-step explanation:
Answer:
Refer to the attached image!!
Hope it helps!
What is the end behavior of the graph
Answers
Answer:
as x is approaching positive infinity, y approaches positive infinity
as x is approaching negative infinity, y is approaching negative infinity
Slope-intercept form?
Answers
Answer:
y=3x+4
Step-by-step explanation:
The original formula for slope-intercept is y=mx+b.
b is your y-intercept (where the line crosses the y-axis).
m is your slope which is 3/1 or just 3.