Question

7.
8x
15x + 2

Explanation:

Step1: Identify Midline Theorem

The segment with length \(8x\) is a midline (by the markings: midpoints on sides), so midline length is half the base. Thus, \(8x=\frac{1}{2}(15x + 2)\).

Step2: Solve the Equation

Multiply both sides by 2: \(16x=15x + 2\). Subtract \(15x\) from both sides: \(16x-15x=15x + 2-15x\), so \(x = 2\).

Answer:

\(x = 2\)