Question

if dm = 26 and point g bisects $overline{dm}$, what is the value of r?

d r + 3 g 4r - 27 m

a. 10
b. 13
c. 30
d. 52

Explanation:

Step1: Use bisection property

Since G bisects $\overline{DM}$, then $DG = GM$. 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 both sides by 3: $r = 10$.

Answer:

A. 10