Question

If EF = 2x – 12, FG = 3x – 15, and EG = 23, find the values of x, EF, and FG

Answer 1

By the segment addition postulate, because F is on segment EG, we can say that:

EF + FG = EG

Doing the substitution we have :

2x -12 + 3x - 15 = 23

5x - 27 = 23

5x = 23 + 27

5x = 50

x = 50/5 = 10

EF = 2 × 10 - 12 = 20 - 12 = 8

FG = 3 × 10 - 15 = 30 - 15 = 15