Question

Hey there Mr or Ms could you help me out here with this problem? Just a head up this isn't a quiz, it's my homework assignment for today it's about properties of Rectangles.

Answer 1

A rectangle is a parallelogram whose four sides are at right angles to each other. Opposite sides have the same length. therefore:

$\begin{gathered} AC=BD \\ AC=2x+15 \\ BD=4x-5 \\ so\colon \\ 2x+15=4x-5 \\ solve_{\text{ }}for_{\text{ }}x\colon \\ 2x=20 \\ x=\frac{20}{2} \\ x=10 \end{gathered}$