Answer:
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
