Question

Suppose M is the midpoint of FG. Find the missing measure. FM=12x−4, MG=5x+10

Answer 1

Answer:

$\overline{FM}=20$

$\overline{MG}=20$

Therefore,

$\overline{FG}=40$

Step-by-step explanation:

Once M is the midpoint of FG, we conclude that

FM is half of FG and MG is half of FC and hence, FM = MG.

Given:

$\overline{FM}=12x-4$

$\overline{MG}=5x+10$

$\overline{FM} = \overline{MG} \implies 12x-4 = 5x+10 \implies 7x=14 \implies \boxed{x = 2}$

So,

$\overline{FM}=12x-4 = 12(2)-4=24-4=20$

$\overline{MG}=5x+10 = 5(2)+10 = 10+10 =20$

Answer 2

Answer:

FG = 17x - 6

Step-by-step explanation:

FG = 12x + 5x + 10 - 4