Answer: x = 5
Step-by-step explanation:
For this problem, we see that EF and FG are segments of EG, so we can say EF + FG = EG.
Hence we can write the following equation to solve for x:
EF + FG = EG
(3x - 8) + (4x - 9) = (18)
7x - 17 = 18
7x = 35
x = 5
Hence we found that x = 5.
If we wanted the lengths of EF and FG, we can simply substitute 5 for x in their expressions:
EF = 3x - 8
EF = 3(5) - 8
EF = 7
FG = 4x - 9
FG = 4(5) - 9
FG = 11
Cheers.