Question

4 The perimeter of a regular pentagon is represented by the expression 35d - 25.

Answer 1

The equivalent expression to Daryl's expression is -5 + 7d ⇒ d

Step-by-step explanation:

In a regular polygon of n-side

• All sides are equal in lengths
• All angles are equal in measures
• Its perimeter is n × the length of one side

∵ The polygon is a pentagon

∴ n = 5

∵ The pentagon is regular

∴ The lengths of its 5 sides are equal

∵ Its perimeter = 5 × length of one side

∵ Its perimeter = 35d - 25

- Equate the two sides of the perimeter

∴ 5 × length of one side = 35d - 25

- Divide both sides by 5

∵ 35d ÷ 5 = 7d and 25 ÷ 5 = 5

∴ The length of one side = 7d - 5

Daryl's expression is 7d - 5

Now lets check the answers

a. 35d - 25 ⇒ No

b. 7d - 15 ⇒ No

c. 5(35 - 25) ⇒ No

d. -5 + 7d ⇒ Yes

e. (35d - 25) ⇒ No

The equivalent expression to Daryl's expression is -5 + 7d

Learn more:

You can learn more about polygons in brainly.com/question/6281564

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