an individual was making blankets for some friends. the individual used 7.2 feet of fabric to make one blanket. how many feet of fabric will the individual need to make 11 blankets (round to the nearest whole number)?

Answers

Answer 1

The number of feet of fabric will the individual need to make 11 blankets is 79.2 feet

To find out how many feet of fabric the individual will need to make 11 blankets, we can use the unitary method.

We know that the individual used 7.2 feet of fabric to make one blanket. So, to find out how much fabric is needed to make 11 blankets, we can set up a proportion

7.2 feet of fabric is needed for 1 blanket

x feet of fabric is needed for 11 blankets

We can solve for x by cross-multiplying and then dividing

7.2 × 11 = x

x = 79.2 feet

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Related Questions

Write the equation of this line in slope intercept form.

Answers

An equation of this line in slope intercept form is y = -1/6(x) - 5.

How to determine an equation of this line?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-5 - 0)/(0 - (-30)

Slope (m) = -5/30

Slope (m) = -1/6

At data point (0, -5), a linear equation in slope-intercept form for this line can be calculated as follows:

y = mx + c

y = -1/6(x) + (-5)

y = -1/6(x) - 5

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Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.

Which of the following rotations is equivalent 270° clockwise rotation about the origin?

clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°

Answers

Answer: A rotation of 270° clockwise is equivalent to a rotation of 90° counterclockwise, because a full rotation is 360° and 270° clockwise is the same as 90° counterclockwise in terms of direction.

Therefore, the answer is: counterclockwise 90°.

Step-by-step explanation:

A sphere has a radius 2. 7 centimeters what is its surface area to the nearest sqaure centimeters

Answers

The surface area of the sphere with a radius of 2.7 centimeters is approximately 91.68 square centimeters.

To calculate the surface area of a sphere, we use the formula:

A = 4πr²

where A is the surface area and r is the radius.

Plugging in the value of the radius (2.7 cm), we get:

A = 4π(2.7 cm)² = 4π(7.29 cm²) ≈ 91.68 cm²

Rounding to the nearest square centimeter, we get the final answer of approximately 91.68 square centimeters.

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Huan has $100 to spend on video games. If each video game is $40 and he pays $5 in tax, how much money does Huan have left over?

Answers

Answer: $15

Step-by-step explanation:

If he spends $80 on two games because if he was to buy three games he would be over his $100. Plus tax is $85.

1. What is the diameter of the circle above?
2.
What is the radius of the circle above?

Answers

Answer:

diameter = 34 radius = 17

Step-by-step explanation:

Look at the line in the middle of the circle that is the diameter, diameter is a straight line passing from side to side through the center of a circle.

radius is the distance from the center of the circle to any point on its circumference.

Winston is baking a pie. The diameter of the pie is 12 inches. What is the area of the pie? Use 3. 14 for pi and round your answer to the nearest tenth

Answers

If the diameter of the pie is 12 inches, then the area of pie is 113.04 in² and 113 in² after rounding to the nearest tenth.

The formula for the area of a circle is: A = π × r²

where A is the area, pi is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In this case, we are given the diameter of the pie, which is 12 inches. To find the radius, we need to divide the diameter by 2:

r = 12 / 2

= 6 inches

Now we can use the formula for the area of a circle to find the area of the pie:

A = π × r²

A = 3.14 × 6²

A = 113.04 square inches

Rounding to the nearest tenth gives:

A ≈ 113.0 square inches

Therefore, the area of the pie is approximately 113.0 square inches.

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SOLVE WITH EXPLANATION GIVING BRAINLIEST IF YOU SOLVE IT CORRECTLY WITH EXPLANATION IF YOU DONT YOU GET REPORTED :/

Answers

Answer:

6.

[tex]2x - 1 = x + 3[/tex]

[tex]x = 4[/tex]

[tex] y = 4 + 3 = 7[/tex]

So the solution is (4, 7).

7. Substituting 4x into the second equation:

[tex]4x + x = 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 1[/tex]

[tex]y = 4(1) = 4[/tex]

So the solution is (1, 4).

Sasha had 30 minutes to do a three-problem quiz. She spent 8 3/4

minutes on questions A and 5 1/2

minutes on question B. How much time did she have left for question C?

Answers

add 8 3/4 and 5 1/2 to get 14 1/4. subtract 14 1/4 from 30. Sasha has 15 3/4 min left for question C.

what is x−10=4 pls help me

Answers

Answer:

Step-by-step explanation: 14 = x

Answer:

The answer to your question would be 14

Step-by-step explanation:

Simple equation

14 - 10 = 4

I hope this helps and have a wonderful day!

Tristan was out at a restaurant for dinner when the bill came. His dinner came to $22. He wanted to leave a 16% tip. How much do was his meal plus the tip, before tax, in dollars and cents

Answers

Answer: 25 dollars and 52 cents

Step-by-step explanation:

Bill = $22

Tip = 16/100 X 22 = $3.52

Total = 22 + 3.52 = $25.52

Answer:

$25.52

Step-by-step explanation:

16% × 22= $3.52

3.52 + 22= $25.52

show that there are arbitrarily long strings of consecutive integers each divisible by a perfect square greater than 1.

Answers

To show that there are arbitrarily long strings of consecutive integers each divisible by a perfect square greater than 1,

Solution:

follow these steps:

1. Choose an arbitrary positive integer, n.


2. Define a string of consecutive integers, starting with the product of the first n+1 positive perfect squares:

S = (2^2 * 3^2 * ... * (n+1)^2).


3. The next n consecutive integers will be S+1, S+2, ..., S+n.


4. Each of these consecutive integers, S+i (where 1 <= i <= n), is divisible by a perfect square greater than 1.


Here's why:


- S is divisible by all perfect squares from 2^2 to (n+1)^2, which are greater than 1.


- S+1 is divisible by 2^2, as S = (2^2 * 3^2 * ... * (n+1)^2) is an even number and (S+1) - 1 = 2^2 * K (where K is some integer).


- S+2 is divisible by 3^2, as S = (2^2 * 3^2 * ... * (n+1)^2) is divisible by 3^2 and (S+2) - 2 = 3^2 * K (where K is some integer).


- Continuing this pattern, S+i is divisible by (i+1)^2, for all 1 <= i <= n.



Thus, we have demonstrated that there are arbitrarily long strings of consecutive integers each divisible by a perfect square greater than 1.

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how can you use a fuormula to find the sum of the measures of the interior angles of a regular polygon?

Answers

The formula to find the sum of the measures of the interior angles of a regular polygon is: S = (n - 2) * 180 where S is the sum of the interior angles, and n is the number of sides of the polygon.

This formula can be derived using the fact that the sum of the interior angles of any polygon is equal to (n - 2) * 180 degrees, where n is the number of sides.

For a regular polygon, all interior angles are equal, so we can divide the sum of the interior angles by the number of sides to find the measure of each angle. Let's call this measure x. Then we have:

S = nx

Solving for x, we get:

x = S/n

Substituting S = (n - 2) * 180, we get:

x = ((n - 2) * 180)/n

This formula gives us the measure of each interior angle of a regular polygon in terms of its number of sides. To find the sum of the measures of the interior angles, we can simply multiply the measure of each angle by the number of sides and then sum them up. Alternatively, we can use the formula S = (n - 2) * 180 directly to find the sum of the interior angles without finding the measure of each angle first.

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10 ft
20 ft
15 ft
Find the area.
A = [?] ft²
Round to the nearest
hundredth.

Answers

The total area of the composite figure is 114.25 square feet.

How to find the area of the shape?

The area of a circle of diameter D is:

A = 3.14*(D/2)²

And the area of a triangle of base B and height H is:

A = B*H/2

We can decompose the figure into two simpler ones, a triangle of base of 10ft and height of 15 ft, whose area is:

A = 10ft*15ft/2 = 75ft²

And half of a circle of diameter of 10ft, whose area is:

A = 0.5*3.14*(10ft/2)² = 39.25 ft²

Then the total area of the figure is:

area =  75ft² + 39.25 ft² = 114.25 ft²

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A line passes through the points

Answers

Answer:

5x+2y = -24

Step-by-step explanation:

We have the point (-4,-2) and a slope of -5/2.

Using the point-slope form of a line:

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line.

y- -2 = -5/2(x- -4)

y+2 = -5/2 (x+4)

Multiply each side by 2.

2(y+2) = -5(x+4)

2y+4 = -5x-20

Add 5x to each side.

5x+2y +4 = -20

Subtract 4 from each side.

5x+2y = -24

mike and alain play a game in which each player is equally likely to win. the first player to win three games becomes the champion, and no further games are played. if mike has won the first game, what is the probability that mike becomes the champion?

Answers

The probability that Mike becomes the champion given that he has won the first game is 7/12.

To find the probability that Alain wins the championship given that Mike won the first game, we can repeat the same reasoning as before, but with Alain as the starting player.

P(Mike wins championship | Mike won first game) = 1 - P(Alain wins championship | Mike won first game)

This leads to:

P(Alain wins championship | Alain won first game) = 5/8

Therefore, we can conclude that:

P(Mike wins championship | Mike won first game) = 1 - P(Alain wins championship | Mike won first game) = 1 - 5/8 = 3/8 + 1/8 = 4/8 = 1/2

Thus, The probability that Mike becomes the champion given that he has won the first game is 7/12.

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To hire an accountant to prepare taxes costs a flat fee and an additional hourty rate. The amount the accountant costs can be modeled by the function A(X) = 140 +
25x, where x represents the number of hours the accountant works to prepare the taxes and 140 represents the flat fee. What is the value of A(215) and its
interpretation?
a A(215) = 3; If the accountant takes 215 hours to prepare the taxes, the cost wil be $2.
b A(215) = 3; If the account takes 3 hours to prepare the taxes, the cost wil be $215.
c A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost wil be $5,515.
d A(215) = 5515; If the accountant takes 5,515 hours to prepare the taxes, the cost will be $215.

Answers

Answer: The given function is:

A(x) = 140 + 25x

We need to find the value of A(215), which means we need to substitute x = 215 in the function and simplify:

A(215) = 140 + 25(215)

A(215) = 140 + 5375

A(215) = 5515

Therefore, the correct answer is (c) A(215) = 5515. The interpretation of this result is that if the accountant works for 215 hours to prepare the taxes, the cost will be $5,515, which includes the flat fee of $140 and an additional hourly rate of $25 for each hour worked.

Step-by-step explanation:

The value of A(215) and its interpretation are captured thus:

A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515

What does the function represents?

The function given as A(x) = 140 + 25x, represents the total cost of using the services of the accountants for tax computation and preparation, bearing in mind that the 140 means $140 which is the fixed charged irrespective of the number of hours it takes to prepare the tax returns whereas the 25x means that $25 is charged as variable fee for  every hour the accountant works on the tax computation

A(x) = 140 + 25x

In this case, A(215) means that 215 hours were made use of by the accountants, hence, to determine the total fees, we simply substitute for x

A(215) = 140+(25*215)

A(215) = 140+5375

A(215)=$5,515

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Can someone please
Help me on this? I’ll give 20 points for this

Answers

Answer:

a) 6x10^-6 b) 0.000006 c) I would not be concerned

Step-by-step explanation:

a)

50% is just half and more just means added onto.

Half of 4x10^-6 is 2x10^-6

If you add that onto the original value, you will have:

6x10^-6 (standard form)

b)

0.000006 (ordinary number)

c)

I would not be concerned about the increase in probability of a side effect while using the new medicine. The probability to begin with is extremely low, almost insignificant. While the 50% increase may sound intimidating, it is just a 50% increase on a number that is already very very small. Honestly, it makes almost no difference.

what would happen if 300 people were sampled instead of 200, and the confidence level remained the same?

Answers

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

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suppose that a pair of dice is tossed. one die has 7 sides, the other has 5 sides. what is the expected value of the sum of the two dice?

Answers

Answer:

4 and 3

Step-by-step explanation:

1/7(1+2+3+4+.....+7)

1/7(28)

4

1/5(1+2+3+4+....+5)

1/5(15)

3

The expected value of the sum of two dice with 7 and 5 sides respectively is 11.


To calculate the expected value of the sum of two dice, we can use the formula for expected value, which is equal to the sum of all possible outcomes multiplied by their corresponding probabilities.

In this case, the possible outcomes are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12, with their corresponding probabilities being 1/35, 2/35, 3/35, 4/35, 5/35, 6/35, 5/35, 4/35, 3/35, 2/35, and 1/35 respectively.

So, the expected value of the sum of the two dice is 2*(1/35) + 3*(2/35) + 4*(3/35) + 5*(4/35) + 6*(5/35) + 7*(6/35) + 8*(5/35) + 9*(4/35) + 10*(3/35) + 11*(2/35) + 12*(1/35) = 11.

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If f(x) =3x+2 what is f(5)?

Answers

In the function f(x) = 3x + 2, f(5) = 17

What is a function?

A function is a mathematical equation which shows the relationship between two variables.

Since we have the function f(x) = 3x + 2 and we want to find f(5), we proceed as follows.

To find f(5) in f(x) = 3x + 2, we note that f(5)  is the value of f(x) when x = 5. So, we substitute x = 5 into the equation.

So, f(x) = 3x + 2

Substituting x = 5 into the equation, we have

f(5) = 3(5) + 2

= 15 + 2

= 17

So, f(5) = 17

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PLEASE HURRY!! WILL MARK BRAINLIEST!
The quadratic regression graphed on the coordinate grid What does the graph of the regression model show?
represents the height of a road surface x meters from
the center of the road.
•The height of the surface decreases from the center
Road Surface Height
out to the sides of the road.
• The height of the surface increases, then decreases,
from the center out to the sides of the road.
•The height of the surface increases from the center
out to the sides of the road.
• The height of the surface remains the same the entire
distance across the road.

Answers

From the figure answer is option B which is The height of the surface increases, then decreases, from the center out to the sides of the road.

What is  quadratic regression?

Quadratic regression is a statistical method used to model the relationship between a dependent variable and an independent variable using a quadratic function. It is a type of polynomial regression, where the regression equation is a polynomial of degree two.

A center can refer to a point or a location that is the middle or central part of something. For example: In team sports, the center is a position that is located in the middle of the playing area or the team formation, and is often responsible for initiating or directing the team's plays.

In the given question ,

Let  y  be  height of the surface   and    x be length of the road    we know that the quadratic regression graphed represent a vertical parabola open downward

The function increase in the interval   [-5,0 ] to [0,0.30]    

The function decrease in the interval    [0,0.30]  to  [5,0]  

Therefore

The height of the surface increases, then decreases, from the center out to the sides of the road. If the height of the road surface is modeled by a quadratic function, it could have this U-shape, with the highest point (the vertex of the parabola) representing the center of the road, and the height decreasing as you move away from the center to the sides of the road.

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A water tank is being drained for cleaning. The volume of water in the tank is given by V (t) = 15(40 − t)2 liters, where t is
the number of minutes after the draining began. (Remember to include UNITS in your answers, when appropriate. )
1) a) (4 points) How much water was in the tank when draining began?
VALUE :
b) (4 points) How much water was in the tank 10 minutes after the draining began?
VALUE :
c) (6 points) What was the average rate of change of the volume of water during the first 10 minutes?
VALUE :
d) (6 points) What was the rate of change of the volume of water 10 minutes after the draining began?
VALUE :
e) (8 points) Is the rate at which the volume is changing increasing or decreasing during the draining? EXPLAIN

Answers

a) There were 24,000 liters of water in the tank when draining began.

b) There were 9,000 liters of water in the tank 10 minutes after draining began.

c) the average rate of change of the volume of water during the first 10 minutes was -1,500 liters/minute.

d) The rate of change of the volume of water 10 minutes after draining began was -900 liters/minute.

e) The rate of water draining from the tank is slowing down as time goes on.

a) The volume of water in the tank when draining began can be found by setting t = 0 in the equation [tex]V(t) = 15(40-t)^2[/tex]:

[tex]V(0) = 15(40-0)^2 = 24,000[/tex] liters.

Therefore, there were 24,000 liters of water in the tank when draining began.

b) The volume of water in the tank 10 minutes after draining began can be found by setting t = 10 in the equation [tex]V(t) = 15(40-t)^2[/tex]:

[tex]V(10) = 15(40-10)^2 = 9,000[/tex] liters.

Therefore, there were 9,000 liters of water in the tank 10 minutes after draining began.

c) The average rate of change of the volume of water during the first 10 minutes can be found using the formula:

average rate of change = [tex]\frac{(V_{10} - V_0)}{10}[/tex]

Where [tex]V_{10}[/tex] and [tex]V_0[/tex] are the volumes of water in the tank 10 minutes and 0 minutes after draining began, respectively.

Substituting the values we found in parts (a) and (b), we get:

average rate of change [tex]= \frac{(9,000 - 24,000)}{10} = -1,500[/tex] liters/minute.

Therefore, the average rate of change of the volume of water during the first 10 minutes was -1,500 liters/minute.

d) The rate of change of the volume of water 10 minutes after draining began can be found by taking the derivative of V(t) with respect to t and evaluating it at t = 10:

[tex]V'(t) = -30(40-t)[/tex]

[tex]V'(10) = -30(40-10) = -900[/tex] liters/minute.

Therefore, the rate of change of the volume of water 10 minutes after draining began was -900 liters/minute.

e) To determine whether the rate at which the volume is changing is increasing or decreasing during the draining, we need to look at the sign of the second derivative of V(t) with respect to t. The second derivative is:

[tex]V''(t) = -30[/tex]

Since V''(t) is negative for all values of t, we conclude that the rate at which the volume is changing is decreasing during the draining. In other words, the rate of water draining from the tank is slowing down as time goes on.

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how many ways can you select a committee of size 3 from a group of 15 people, where one person will be president, one will be vice president, and one will be treasurer?

Answers

There are 13,225 different ways to select a committee of size 3 from a group of 15 people, where one person will be president, one will be vice president, and one will be treasurer.

To calculate this, we can use a combination formula. The formula for combinations is nCr = n! / (r! * (n - r)!), where n is the size of the group and r is the number of people in the committee.

In this case, n = 15 and r = 3.

Using this formula, we can calculate that there are 15! / (3! * (15 - 3)!) = 13,225 different ways to select a committee of size 3 from a group of 15 people, where one person will be president, one will be vice president, and one will be treasurer.

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The ordered pairs (−4, 7) and (2, −2) are points on a graph of a linear equation. Which other points are also on the same line?
Select ALL that apply.
(−2, −6)
(−2, −5)
(4, −6)
(4, −5)
(0, −5)
(0, 1)

Answers

We can find the equation of the line passing through the given two points (-4, 7) and (2, -2) using the slope-intercept form of a linear equation:

slope (m) = (change in y) / (change in x) = [tex](-2 - 7) / (2 - (-4)) = -9/6 = -3/2[/tex]

Using point-slope form with the first given point (-4, 7), we get:

[tex]y - 7 = (-3/2)(x - (-4))\\y - 7 = (-3/2)x - 6\\y = (-3/2)x + 1[/tex]

Now we can plug in the x-coordinates of the other points given and check if they satisfy the equation.

[tex](−2, −6):\\y = (-3/2)x + 1\\-6 = (-3/2)(-2) + 1\\-6 = 3 + 1\\-6 ≠ 4 (not on the line)[/tex]

[tex](−2, −5):\\y = (-3/2)x + 1\\-5 = (-3/2)(-2) + 1\\-5 = 3 + 1\\-5 ≠ 4 (not on the line)(4, −6):\\y = (-3/2)x + 1\\-6 = (-3/2)(4) + 1\\-6 = -6 + 1\\-6 ≠ -5 (not on the line)(4, −5):\\y = (-3/2)x + 1\\-5 = (-3/2)(4) + 1\\-5 = -6 + 1\\-5 = -5 (on the line)[/tex]

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What is 5 1/2 x 5 = ?

Answers

Answer:27.5

Step-by-step explanation:

i did this with a calculator, but the answer is

27.5

how do you do this? I need helppppp

Answers

The constant of proportionality of the graph is k = 3/2.

How to get the constant of proportionality?

A general proportional relation between two variables y and x can be written as:

y = k*x

Were k is the constant of proportionality.

To find the value of k, we need to identify a point of the form (x, y) on the given graph, and then replace the values in the equation above, for example, we can use the point (4, 6), replacing that we will get:

6 = k*4

6/4 = k

3/2 = k

That is the constant of proportionality.

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a crime reporter was told that on average, 3000 burglaries per month occurred in his city. the reporter examined past data, which were used to computed a 95% confidence interval for the number of burgalries per month. the confidence interval was from 2176 to 2784. at the 5% level of significance, do these data tend to support the alternative hypothesis, $h 1 \ne 3000$? calculate z test score

Answers

We need to calculate the z-test score. It is a statistical test for inference that tests the null hypothesis that the mean of a sample from a normal population equals a specified value, and it is a test of statistical significance. Z-score: Z = (x - μ) / (σ / √n)μ = 3000, x = (2176 + 2784) / 2 = 2480, σ is the standard error of the mean, and n is the number of data points.

Z = (2480 - 3000) / (3000 / √n). The standard error of the mean (SEM) is calculated as follows: SEM = σ / √nσ = (2784 - 2176) / (2 × 1.96) = 303.64. Therefore, SEM = σ / √n=303.64 / √n(303.64 / √n) = (3000 - 2176) / 1.96n = 141.56n = 142Z = (2480 - 3000) / (303.64 / √142)Z = -12.95.

Since Z is less than -1.96, the test is significant at the 5% level of significance. Therefore, we can refuse the null hypothesis, and the alternative hypothesis is accepted. Therefore, the data support the alternate hypothesis that the number of burglaries per month is not equal to 3000.

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question 1(multiple choice worth 3 points) (05.05 lc) according to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise. the numbers for each year are, roughly, 2, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3. what is the mean of these statistics? 24 2.18 24.18 2

Answers

The mean of the unintentional drug overdose deaths per 100,000 population from 1986-1996 is 2.18. (option 2).

To find the mean of a set of numbers, we add up all the numbers in the set and then divide by the total number of items in the set. In this case, we have the following numbers: 2, 1, 2, 2, 1, 2, 2, 3, 3, 3, and we want to find the mean.

To do so, we first add up all the numbers:

2 + 1 + 2 + 2 + 1 + 2 + 2 + 3 + 3 + 3 = 21

Then we divide by the total number of items in the set, which is 10:

21 / 10 = 2.1

Therefore, the mean of the unintentional drug overdose deaths per 100,000 population from 1986-1996 is 2.18.

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7 2/9 - 5 5/7 = ?

rlly stuck on this math assignment currently

Answers

Answer:

95/63 or 1 32/63

Step-by-step explanation:

turn the fraction into a mixed number/improper fraction

65/9-40/7

find a common denominator which in this case is 63

so, the first fraction you will multiply the numerator and denominator by 7 to get

455/63

then the second fraction multiply the numerator and the denominator by 9

360/63

then you would subtract the two numerators KEEP THE DENOMINATOR THE SAME

455/63-360/63=95/63

Use the drop-down menus to complete the sentence. the transformation is because the preserved.

Answers

A transformation is said to be not rigid because the segments is preserved.

A transformation is a function that maps one set of points to another set of points. There are different types of transformations, including translation, rotation, reflection, dilation, and combinations of these. Each type of transformation preserves certain properties of the shape or object.

The properties that are preserved during a transformation depend on the type of transformation

Similarly, a rotation is a transformation that rotates a shape or an object around a fixed point. During a rotation, the distance between any two points on the shape or object is preserved, but the direction may change. A reflection is a transformation that flips a shape or an object across a line. During a reflection, the distance between any two points on the shape or object is preserved, but the orientation may change.

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1. nonrigid

2. segment lengths are not

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