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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