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FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.

Respuesta :

5y+13=-3y+5
8y=-8
y=-1
2FM=FG
-5+13-5+13=FG
FG=16

A line is a one-dimensional shape that is straight. The length of the side FG is 16 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that FM = 5y + 13 and MG = 5 - 3y. Also, midpoint of the line FG is M, therefore, the length of the two segments FM and MG will be equal to each other.

FM = MG

5y + 13 = 5 - 3y

5y + 3y = 5 - 13

8y = -8

y = -8/8

y = -1

Now, the length of the two line segments will be,

FG = FM + MG

     = 2y + 13 + 5

     = 2y + 18

     = 2(-1) + 18

     = -2 + 18

     = 16

Hence, the length of the side FG is 16 units.

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