Question

question a triangle has side lengths of (8x + 10) centimeters, (2x + 5) centimeters, and (7y - 9) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer -2y + 7 + 18x 6 + 7y + 10x 15 - 2y + 10x -2y + 25x

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(8x + 10)+(2x + 5)+(7y-9)$.

Step2: Combine like - terms

First, combine the $x$ - terms: $8x+2x = 10x$. Then combine the constant terms: $10 + 5-9=6$. The $y$ - term remains as $7y$. So $P = 6+7y + 10x$.

Answer:

$6 + 7y+10x$