Answer:
x = 20
Step-by-step explanation:
The length of the segment EG can be obtained as the sum of the segments EF and FG, that is:
EG = EF + FG
We are given:
EF = 4x + 14
FG = 50
EG = 144
Thus, we set the equation:
144 = 4x + 14 + 50
Simplifying:
144 = 4x + 64
Subtracting 64:
80 = 4x
Dividing by 4:
x = 80/4 = 20
x = 20
