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Who was the supreme commander of us forces in

mmaglaya1

03.08.2020

$\overline{FM}=20$

$\overline{MG}=20$

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,

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

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

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