Answer:
FG = 7
Explanation:
EF and FG glued back together would be the whole segment, EG. So we can add EF and FG together and set it equal to EG.
EF + FG = EG
5x + 2x- 7 = 5x + 7
combine like terms
7x - 7 = 5x + 7
subtract 5x from both sides.
2x - 7 = 7
add 7 to both sides
2x = 14
divide by 2
x = 7
They asked for FG. Use x = 7 to find it.
FG = 2x - 7
= 2(7) - 7
= 14 - 7
= 7
see image