Determine whether side-side-angle (SSA) is a valid means for establishing triangle congruence. In this case, you know the measure of two adjacent sides and the angle opposite to one of them. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn’t work and give an explanation. (Hint: Try constructing a triangle where the known angle is opposite to the shortest known side.) If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.

The time it would take Lin to run 1 mile is 8/55 hour

The time it would take Noah to run 1 mile is 2/13 hour

From the question, we are to calculate how long it would take Lin and Noah to run 1 mile

From the given information,

Lin ran 2 3/4 miles in 2/5 of an hour

Thus,

Lin's speed = (2 3/4) ÷ 2/5

Lin's speed = 11/4 ÷ 2/5

Lin's speed = 11/4 × 5/2

Lin's speed = 55/8 miles/hour

Now, to determine how long it would take Lin to run 1 mile

Using the formula,

Time = Distance / Speed

Time = 1 / (55/8)

Time = 8/55 hour

Also,

Noah ran 8 2/3 miles in 4/3 of an hour

Thus,

Noah's speed = (8 2/3) ÷ 4/3

Noah's speed = 26/3 ÷ 4/3

Noah's speed = 26/3 × 3/4

Noah's speed = 26/4

Noah's speed = 13/2 miles/hour

Now, to determine how long it would take Noah to run 1 mile

Using the formula,

Time = Distance / Speed

Time = 1 / (13/2)

Time = 2/13 hour
Hence, it will take 2/13 hour

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Each of them becomes the fraction 3/2, or 1 1/2. (the second triangle is a little less than twice as big). Since we often keep the scale factor as a fraction, we would remark that it is 3/2.

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Each of them becomes the fraction 3/2, or 1 1/2. (the second triangle is a little less than twice as big). Since we often keep the scale factor as a fraction, we would remark that it is 3/2.

We locate the dilation's center point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.

The new shape is three times as large as the original if the scale factor is 3.

The fundamental equation to determine the scale factor of a figure is written as, Dimensions of the original shape minus the dimensions of the new shape equals the scale factor.

Scale Up = larger measurement / smaller measurement (smaller to larger).

Smaller measurement / larger measurement equals a scale-down operation.

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The shorter side of the tile is 12.5 inches and the longer side is 15 inches.

The total area of the two triangles is 3 sq units + (-1 sq units) = 2 sq units.

The equation of line a b is y = 2x + 4

and the equation of line d c is y = x + 4

Substituting the y-coordinate of point E, (6) in the equations of line a b and d c, we get:

2x + 4 = 6

x + 4 = 6

Solving the above equations, we get x = 1 and y = 6.

Therefore, the coordinates of point E are (1,6).

The length of side a b is 9 - (2x + 4) = 9 - (2(1) + 4) = 3

The length of side d c is x + 4 - 6 = 1 + 4 - 6 = -1

The length of side a e is 2x + 4 - 6 = 2(1) + 4 - 6 = 2

The length of side d e is x + 4 - 6 = 1 + 4 - 6 = -1

Therefore, the area of triangle a b e is 1/2 (base x height) = 1/2 (3 x 2) = 3 sq units

The area of triangle d c e is 1/2 (base x height) = 1/2 (-1 x 2) = -1 sq units

Therefore, the total area of the two triangles is 3 sq units + (-1 sq units) = 2 sq units.

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Answer:

I am pretty sure it is 8 units.

Step-by-step explanation:

Answer:

\frac{3t}{t-1}[/tex]Step-by-step explanation:[tex]t = \frac{r}{r - 3}[/tex]Cross multiply,t(r - 3) = rtr - 3t = r      tr  = r + 3t  tr - r = 3t  r(t -1) = 3t

Step-by-step explanation:

Making the r as subject of the formula for the given expression t = 30p/r + s is given by, r = 30p/(t - s).

Given the expression is,

t = 30p/r + s, where p, r, s and t are mathematical variables.

We have to make the r the subject of the formula that is we have to express the variable ' r ' in terms of the other variables in the given expression.

t = 30p/r + s

t - s = 30p/r

r/30p = 1/(t - s)

r = 30p/(t - s)

Hence the rearranged form of the given expression is r = 30p/(t - s).

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Therefore , the solution of the given problem of expression comes out to be 3 feet long ruler can be bought from yard sale.

An analytical formula must be verified by replacing each parameter with a number or performing mathematical operations. Since 79 + 8 = 87, the response variable in the prior case is the same as 6. We can substitute values for the variables that we are familiar with in order to evaluate the expression.

Here,

Given : a ruler that is 3 feet long

where to buy

thus,

We can find the ruler which is 3 feet long can be bought from yard sale.

Therefore , the solution of the given problem of expression comes out to be 3 feet long ruler can be bought from yard sale.

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When a linear force works, it produces In the domain of rotation, work is accomplished by a torque delivered through an angle . work = (torque) * (angle).

A linear equation is one that has the form y=mx+b in algebra.The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are linear equations with two variables. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

When a linear force works, it produces In the domain of rotation, work is accomplished by a torque delivered through an angle .

work = (torque) * (angle). Work is defined as force times distance.

The angle of rotation is calculated by dividing the length of the arc by the radius of curvature. 360° is equal to two revolutions, or two rad.

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The communicable diseases that are known for targeting the human respiratory system are C. I, II, and III.

There are several diseases that target the human respiratory system and a lot of them are communicable . One of the most popular of these is the Coronavirus infection which forced the world into various lockdowns to prevent its spread.

Then there is Influenza II which is one of the most communicable diseases in existence. It also attacks the human respiratory system much like Tuberculosis III.

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The value of x in the quadrilateral is 23°

Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life

The interior angles of the quadrilateral are :

180 - (x+16)°          (sum of angles on a straight line)

180 - (3x-1)°           (sum of angles on a straight line)

180 - 6x°              (sum of angles on a straight line)

180 - 5x°              (sum of angles on a straight line)

Since the sum of the interior angles of a quadrilateral is 360°. We have:

180-(x+16)° + 180-(3x-1)° + 180-6x° + 180-5x° = 360°

180 - x - 16 + 180 - 3x + 1 + 180 - 6x + 180 -5x = 360

705 - 15x = 360

15x = 705 - 360

15x = 345

x = 345/15

x = 23°

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Answer:

L.S = R.S ( see below)

Step-by-step explanation:

[tex]7x + 28 = -6x-24\\13x = -52\\x = -4[/tex]

L.S

[tex]7(-4)+28 = 0[/tex]

R.S

[tex]-6(-4) - 24 = 0[/tex]

L.S = R.S

x = -4 is correct

Option A is the correct answer. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°.

Two angles are called supplementary when their measures add up to 180° degrees. These angles form a straight angle when they are put together.

Angle 1 and angle 2 are supplementary if Angle1+Angle2= 180°.Thus, Angle 1 and Angle 2 are called "supplements" of each other.

Two angles that lie on opposite sides of the transversal and are placed on two different lines are called alternate exterior angles. These pairs of angles are always equal if the two given lines are parallel.

Two exterior angles that lie on two different lines cut by a transversal and are placed on opposite sides of the transversal are called alternate exterior angles.

Here,105 and ∠2 are alternate exterior angles, ∠2=105 degrees.

Angles 1 and 2 and supplementary

so 180 - ∠2 = ∠1

180-105=75.

∠1 =75 degrees.

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Answer:

A

Step-by-step explanation:

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}[/tex]

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

[tex]\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}[/tex]

Answer: No

Step-by-step explanation: 5 pounds of ham would mean that 5 people get 1 pound, and 10 people would get 1/2 pound or 0.5 pounds of ham each.

Answer: No

Step-by-step explanation: Step 1: Calculate the total amount of ham needed for 10 sandwiches. This is 10 x 2 = 20 pounds.

Taylor is not correct, as he does not have enough ham to make 10 sandwiches with 2 pounds of ham in each.

Answer:

Letter B is the statistic.

Answer:

Here ya go lazy one

Step-by-step explanation:

1 -   0.62 x 2 = 1.24

2 -     0.5 x 9 = 4.5

3   - 3.6 x 8 = 28.8

4 -    5.1 x  7 = 35.7

5-      4 x 2.3 = 9.2

Mark me brainliest lazy one <3

When writing a number greater than or equal to 1 in scientific notation, the exponent of the power of 10 will be positive.

In scientific notation, a number is represented as a coefficient multiplied by a power of 10. For example, the number 12,000 can be written as 1.2 x 10⁴ in scientific notation.

When the number is greater than or equal to 1, the coefficient will be greater than or equal to 1 and less than 10. The exponent of the power of 10 will indicate the number of places the decimal point must be moved to the right to get the original number.

Since the number is greater than or equal to 1, the decimal point must be moved to the right, resulting in a positive exponent. So, when writing a number greater than or equal to 1 in scientific notation, the exponent of the power of 10 will always be positive.

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On solving the provided question, we can say that the linear function that can be formed is x + 4y= 16 and rate of change in linear function is 13

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

the linear function that can be formed is

x + 4y= 16

also, 2x = 26y

rate of change in linear function is 13

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One gallon equals 16 eight ounce glasses of water.

According to the EPA, conventional shower heads utilize 2.5 gallons of water each minute. For the normal shower, that’s 20 gallons of water! To help lower your water impact, try trimming three minutes off your shower time. Delivering, purifying, and boiling hot water for your shower also consumes a lot of energy.

To determine the average shower water use, multiply the average flow rate of 2.1 gallons per minute by the average shower time of 8.2 minutes. So, 17.2 gallons is the average amount of water utilized. A 10-minute shower will consume 21 gallons of water. The amount of water consumed in the shower may quickly add up.

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Answer:

12.80/8=1.6

$1.60 for one bag of cheetos

Step-by-step explanation:

Answer: $1.6 for 1 bag

Step-by-step explanation:

We can divide 12.80 by 8 = 1.6 to find the answer to your question

The area and perimeter of the parallelogram can be found to be :

The area of a Parallelogram can be found by the formula :

= Base of Parallelogram  x Height of Parallelogram

= 54 in x 50 in

= 2, 700 in ²

The perimeter is simply the distance around the Parallelogram which is:

= 54 + 55 + 54 + 55

= 218 in

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When Y=14 then x will be 20 for the given linear line (Linear equation).

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

As we can see from the graph that for values of y and x

y increase 3 points when x increase 5 points

e.g. (5,5) and (10,8)

Following the same trend when y=14 then x will be 20.

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Answer:

The cost of the hat with 7.5% tax would be $26.87

Step-by-step explanation:

($24.99 * 0.075) = $26.87.

I'm pretty sure the answer is 5280 feet

Answer: 5,280 Feet (1.609 km)

Step-by-step explanation: Why, the distance of 1 mile is equal to 5,280 feet (1.609 km).   It originated from the Roman mile passus, or “thousand paces,” which measured 5,000 Roman feet. I hope this helps!

After simplification, the value of the expression is,

⇒ 2f + 54

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6 ( f + 5 ) - 4 ( f - 6 )

Now, Simplify the expression as;

⇒ 6 ( f + 5 ) - 4 ( f - 6 )

⇒ 6f + 30 - 4f + 24

⇒ 2f + 54

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To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.

E.g.

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To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.

By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.

To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the Centre and through each of the edges. We refer to these as ray lines.

E.g.

In this instance, scale factor 1 has been used to increase triangle ABC.

A Centre of enlargement point O is surrounded by 3 3 1s. The form gets smaller if the enlargement is between 0 0 and 1 1. The new triangle has the letters A, B, and C.

The lengths of the new shape's sides are one-third that of the sides of the original shape.

Parallel lines connect the groups of corresponding sides.

The angles are the same in both shapes, and the triangles resemble one another.

Mathematical mappings include transformations like enlargements. The word "maps" is thus frequently used in questions.

An instruction in mathematics is a mapping, and an instruction in mathematics that affects a shape is a transformation.

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So on solving the provided question, we can say that  A line segment's midpoint is the location where it is divided into two equally sized halves.

The midpoint of a line segment is known as the midpoint in geometry. The centroid of all segments and ends, it is equally spaced from each of them. Add the two figures together and divide by two to determine the middle of any range. Look at this illustration to see how to determine the intersection of two points on a 1D axis. Consider the numbers 5 and 9 as the two points on a number line. Calculating the midpoint is as follows: (5 + 9)/2 = 14/2 = 7. As a result, 7 lies halfway between 5 and 9. There are instances when you need to locate a precise spot between two other points. The term "midpoint" refers to this center. The point on a line segment that divides the line is considered to be the midway of the segment.

A line segment's midpoint is the location where it is divided into two equally sized halves. The point splitting the line segment in any desired ratio can be found using the more potent section formula, which builds on the previous method.

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These sides also follow the same ratio a/2 : (a√3)/2: a

We get 1:√3:2. This is the 30-60-90 triangle theorem.

Now, According to the question:

Let's consider an equilateral triangle ABC with a side length equal to 'a'.

Now, draw a perpendicular from vertex A to side BC at point D of the triangle ABC. The perpendicular in an equilateral triangle bisects the other side.

Triangle ABD and ADC are two 30-60-90 triangles. Both the triangles are similar and right-angled triangles. Hence, we can apply the Pythagoras theorem to find the length AD.

[tex](AB)^2 = (AD)^2 + (BD)^2[/tex]

[tex]a^2 = (AD)^2 + (a/2)^2[/tex]

[tex]a^2 - (a/2)^2 = (AD)^2[/tex]

[tex]3a^2/4 = (AD)^2[/tex]

(a√3)/2 = AD

AD = (a√3)/2

BD = a/2

AB = a

These sides also follow the same ratio a/2 : (a√3)/2: a

Multiply by 2 and divide by 'a',

(2a)/(2a) : (2a√3)/(2a): (2a/a)

We get 1:√3:2. This is the 30-60-90 triangle theorem.

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Based on the constant rate of change, it will take Lamonte 4.5 hours to earn $107.55.

The constant rate of change refers to the ratio of an output value to an input which remains constant in all variables.

The constant rate of change is called a slope in a linear function or the unit rate.

The constant rate of change implies that the dependent variable changes (increasing or decreasing) as the other comparable or independent variable changes similarly.

Time (hours)  Earnings (dollars)   Unit Rate

       3                      $71.70            $23.90 ($71.70/3)

      11                   $262.90           $23.90 ($262.90/11)

    28                   $669.20           $23.90 ($669.20/28)

Total earnings = $107.55

Unit rate her hour = $23.90

The number of hours required = 4.5 hours ($107.55/$23.90)

Thus, using the constant rate of change or unit rate, Lamonte must work 4.5 hours to have total earnings of $107.55.

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The volume of the step and the surface area of the steps are 120000 cm³ and 26,400 cm² respectively.

What is a Rectangular Prism?

A rectangular prism is a three-dimensional shape that consists of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The given steps can be divided into 3 rectangular boxes each with length, l = 1 m = 100 cm, width, w = 20 cm, and height, h = 20 cm.

The volume of a rectangular box = l × w × h

= 100 × 20 × 20

= 40000 cm³

Volume of 3 rectangular boxes = 3 × 40000 cm³

= 120000 cm³

Surface area of a rectangular box = 2 (lw + lh + wh)

= 2 [(100 × 20) + (100 × 20) + (20 × 20)]

= 2 [2000 + 2000 + 400]

= 2 [4400]

= 8800 cm²

The surface area of 3 rectangular boxes = 3 × 8800

= 26,400 cm²

Hence, the volume of the steps is 120000 cm³ and the surface area of the steps is 26,400 cm².

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The probability that a student studied for exactly 1 hour is 0.23.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It deals with the numerical estimates of the chance that an event will occur.

In this case the group of students was surveyed in a middle school class and they were asked how many hours they work on math homework each week.

The probability that a student studied for exactly 1 hour will be:

Number of students that studied for 1 hour / Total number of students

= 8 / 35

= 0.23

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