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Suppose M is the midpoint of FG. Find the missing measure.
FG = 14a + 1. FM = 14.5


Answer A=?


Sagot :

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