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Juli2301 [7.4K]
3 years ago
6

Please Help ASAP. Thanks.

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

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

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