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3 years ago

What is the sum of the measures of interior angles for a regular polygon with 5 sides

Mathematics

1 answer:

pshichka [43]3 years ago

7 0

Answer:

360 degrees

Step-by-step explanation:

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago

Simplify 1/2(8-4g) pls help me

muminat

Answer:

2(-g+2)

Step-by-step explanation

8 0

2 years ago

Read 2 more answers

4x + 20=? it’s hard and i’m confused

NikAS [45]

Answer:

4(x+5) I

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Consider the expression 1/3 bwh

ANEK [815]

The entire expression is the product of 4 factors and in this context , 1/3 is a coefficient

<h3>How to complete the statements?</h3>

The expression is given as:

1/3bwh

Where the factors of the expression are:

1/3, b, w and h

And also 1/3 is a coefficient (because 1/3 is a number)

So, the complete statement is:

the entire expression is the product of 4 factors and in this context , 1/3 is a coefficient