Question

find the value of x. 32 x + 5 x =

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. Here, the mid - segment length is \(x + 5\) and the third side length is \(32\). So, \(x+5=\frac{32}{2}\).

Step2: Solve the equation for \(x\)

First, simplify \(\frac{32}{2}=16\). Then the equation becomes \(x + 5=16\). Subtract \(5\) from both sides: \(x=16 - 5\).

Answer:

\(x = 11\)