Question

if dm = 26 and point g lies on the perpendicular bisector of $overline{dm}$, what is the value of r?
d g m
r + 3 4r - 27
10
13
30
52

Explanation:

Step1: Use property of perpendicular bisector

Since G is on perpendicular bisector of DM, DG = GM. So r + 3=4r - 27.

Step2: Solve the equation for r

Subtract r from both sides: 3 = 3r - 27. Then add 27 to both sides: 30 = 3r. Divide by 3: r = 10.

Answer:

10