Use the given figure to find the length of fg

FG = 19

Step-by-step explanation:

The two sides of the triangle are equal since JG is a perpendicular bisector

FG = HG

5x-6 = 3x+4

Subtract 3x from each side

5x-3x -6 = 3x+4-3x

2x-6 =4

Add 6 to each side

2x-6+6 =4+6

2x = 10

Divide by 2

2x/2 = 10/2

x =5

We want to find FG

FG = 5x-6

FG = 5(5)-6

    = 25-6

    = 19

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there are two angles that are alternate interior angle with angle 9

the angle 15 and angle 7 are alternate interior angle with angle 9.

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