Two figures are similar with a scale factor of 5/2.
a. What is the ratio of corresponding lengths?
b. What is the ratio of their perimeters?
c. What is the ratio of their areas?
d. What is the ratio of their volumes?
e. What is the ratio of corresponding angle measures?

Answers

Answer 1

Answer:

If we have two figures, F and F'

Such that if we start with F, and dilate it with a scale factor K, we get F'.

We will have:

All the measures of F', are K times the correspondent measures of F.

Then if F has  s₁, s₂, ..., sₙ sides, the sides of F' will be:

K*s₁, K*s₂, ..., K*sₙ

The ratio between correspondent sides will be equal to K

The ratio between perimeters will also be equal to K (because the perimeter is the sum of all the sides of each figure, so we can just take K as a common factor)

In the case of the area, because we usually multiply a measure by another, a factor K^2 will  appear, and the quotient between the areas is K^2

And finally, for the volumes, the ratio will be K^3

a) The ratio of corresponding lengths is K, in this case is 5/2

b) The ratio of the perimeters is K, in this case is 5/2

c) The ratio of the areas is K^2, in this case is (5/2)^2 = 25/4

d) The ratio of the areas is K^3, in this case is (5/2)^3 = 125/8

e) Two figures are similar if the figures have the same shape, then the corresponding angles are exactly the same, then the ratio of corresponding angle measures is 1.


Related Questions

Jenna is eating 2 oranges a day to help her diet. She is doing this for all 42 of her oranges. How many days of her diet will Jenna be on when she is done with her oranges?

Answers

answer:

21 days

Step-by-step explanation:

42/2=21

What is 4x/7 - 2/3

Fraction help

Answers

Answer:

2/21 * (6x-7)

Step-by-step explanation:

1/21 * (3*4x - 14)

1/21* (12x-14)

1/21* 2(6x-7)

2*1/21 * (6x-7)

2/21* (6x-7)

10-What is the length of arc AB in circle Q?

Answers

Answer:  57.2

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The length of the arc AB will be 5/18 of the circumference of the circle, which equals 2πr

What is 35% of 500?
Help please

Answers

Answer:

175

Step-by-step explanation:

500 times 35/100

simplify

Answer:

175

Step-by-step explanation:

Justin reads 21 pages of a book each day.
How many pages will he read in 6 days?
125
27
126
15

Answers

Answer:

126

Step-by-step explanation:

Take the number of pages read per day and multiply by the number of days

21 pages per day * 6 days =126 pages

Answer:

126

Step-by-step explanation:

it can not be A,B & D because when you multiple 21 pages by 6 days you get 126.

Expression 9 x, if x=5

Answers

Answer:

45

Step-by-step explanation:

9x

Replace x with 5

9*5

45

Answer:

45

Step-by-step explanation:

9x5 equals 45

What is the perimeter,in centimeters of triangle QRS?

Answers

Answer: 60

Step-by-step explanation:

You have to use Pythagorean Theorem because the other side is not listed of the triangle

Pythagorean Theorem: a² + b² = c²

a²  + 20²  = 25²

a²  + 400 = 625

625-400 = a²

a²  = 225

Find the square root of 225 to find the missing length

[tex]\sqrt{225}[/tex] = 15 (this is the missing length for QS

To find the perimeter, add all the sides...

15 + 20 +25 = 60

Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?

Answers

Answer:

[tex](\frac{5}{10},\frac{6}{10})[/tex]

Step-by-step explanation:

Given

[tex]Library \to \frac{1}{2}[/tex]

[tex]Post\ Office \to \frac{3}{5}[/tex]

See comment for complete question

Required

Write as a common denominator

Take the denominator of both fractions

[tex]2 \to[/tex]

[tex]5 \to[/tex]

Calculate the LCM

[tex]2 \to 1 * 2[/tex]

[tex]5 \to 1 * 5[/tex]

[tex]LCM = 1 * 2 * 5[/tex]

[tex]LCM = 10[/tex]

Multiply the numerator and the denominator of both fractions by 10

Simplify each to ensure a denominator of 10

[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]

[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]

Hence, the pair is:

[tex](\frac{5}{10},\frac{6}{10})[/tex]

Need help with school please

Answers

Answer:

11. <7.

12. <1.

13. <6.

Step-by-step explanation:

Same place

Outside and opposite

Inside and opposite

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Answers

D cause it’s 8x2 then 5x2 which is 16+10 which 26 and it’s 40 cause 8x5 is 40

D cause it’s 8x2 then 5x2 which is 16+10 which 26 and it’s 40 cause 8x5 is 40

Please help me choose the right answer

Answers

package 1 because 100cm is in 1m and there is 2 in package 2

what's the absolute value of 4.5 ?​

Answers

Answer:

the absolute value or 4.5 is 4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

absolute value: the distance away from zero, it will always be positive because distance can't be negative.

thus, the absolute value of 4.5 = the distance of 4.5 to zero, which is 4.5

|4.5| = 4.5

inequality:

-3 -6 (4x+6) > - 111

solve

Answers

Answer:

x < 3

Step-by-step explanation:

-3 - 6(4x+6) > - 111

-3 - 24x - 36 > -111

-24x - 39 > -111

-24x > -72

dividing by a negative flips the sign

x < 3

Bob is 6 feet 2 inches tall.
There are
2.54 centimeters in 1 inch.
What is Bob's height in meters?
Z
A) 1.8796 meters
B) 18.796 meters
C) 74 meters
D) 15.748 meters
E) 1.5748 meters
F) None of the above

Answers

Answer:

A, 1.8796

Step-by-step explanation:

First, convert everything to inches

6 × 12 = 72

72 + 2 = 74

Now, we convert the inches to centimeters

2.54 × 74 = 187.96

Next, we convert to meters

187.96 ÷ 100 = 1.8796

So, your answer would be A, 1.8796 meters

Have a great day!

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Answers

Answer:

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Step-by-step explanation:

Calculate the area of this parallelogram.
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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Heres an image to explain I hope this helps you!

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The quadratic function is:

[tex]f(x)=-x^{2}+7x-12[/tex]

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Answers

Answer:

both of the triangels  have an area of 400

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integer

Step-by-step explanation:

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Answer:

The slope is the integer 4

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Answers

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Answers

Answer:

Solution given:

x(w – 1) + (W – 1)

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xw-x+w-1

xw+w-x-1

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w(x+1)-1(x+1)

take common again

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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