Question 789953
G is the midpoint, so the two smaller pieces are equal which means FG = GH


FG = GH


12x - 5 = 7x


 - 5 = 7x-12x
 
 
 - 5 = -5x
 
 
-5x = -5


x = -5/(-5)


x = 1


-------------------------------------------------------


FH = FG + GH


FH = (12x - 5) + (7x)


FH = (12*1 - 5) + (7*1)


FH = (12 - 5) + (7)


FH = 12 - 5 + 7


FH = 7 + 7


FH = <font color="red">14</font>