Question

1. if dm = 32 and point g bisects dm, what is the value of r?

d r + 5 g 3r - 17 m
a 11
b 16
c 22
d 72

Explanation:

Step1: Use bisector property

Since G bisects $\overline{DM}$, then $DG = GM$. So we set up the equation $r + 5=3r - 17$.

Step2: Solve the equation for r

First, move the r - terms to one side: $3r-r=5 + 17$.
This simplifies to $2r=22$.
Then divide both sides by 2: $r=\frac{22}{2}=11$.

Answer:

A. 11