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Answer:
a = 2
Step-by-step explanation:
If M is the midpoint, 1/2 of FG = FM since FG is the whole length.
FG = 14a + 1
1/2 FG = 1/2(14a + 1)
1/2 FG = 7a + 1/2
The length of the segment FM = 14.5 and that is the same length as 1/2 FG
7a + 1/2 = 14.5
1/2 = 0.5
7a + 0.5 = 14.5 Subtract 0.5 from both sides
7a = 14.5 - 0.5
7a = 14 Divide by 7
a = 14/7
a = 2