Question

a triangle has side lengths of (2t - 4) centimeters, (7t - 2) centimeters, and (2u + 7) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer 3t + 9u 9t - 6 + 9u 9t + 2u + 1 9u + 5 - 2t

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(2t - 4)+(7t - 2)+(2u + 7)$.

Step2: Combine like - terms

First, combine the $t$ - terms: $2t+7t = 9t$.
Then, combine the constant terms: $-4-2 + 7=-6 + 7=1$.
The $u$ - term remains as $2u$.
So $P=9t + 2u+1$.

Answer:

$9t + 2u + 1$ (corresponding to the option that reads $9t + 2u+1$)