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8. the perimeter of the triangle shown is 17x units. the dimensions of …

Question

  1. the perimeter of the triangle shown is 17x units. the dimensions of the triangle are given in units. 15 units 15 units 7x units which equation can be used to find the value of x?

Explanation:

Step1: Recall perimeter formula

The perimeter of a triangle is the sum of the lengths of its sides.

Step2: Sum up side - lengths

The side - lengths of the triangle are 15 units, 15 units, and 7x units. So the sum of the side - lengths is \(15 + 15+7x\).

Step3: Set up the equation

Since the perimeter is 17x units, we have the equation \(17x=15 + 15+7x\), which simplifies to \(17x=30 + 7x\).

Answer:

\(17x = 30+7x\)