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4 years ago

Use the given figure to find the length of FG

Mathematics

2 answers:

Varvara68 [4.7K]4 years ago

7 0

Answer:

Step-by-step explanation:

5x - 6 = 3x + 4

5x - 3x = 4 + 6

2x = 10

x = 5

FG = 5x - 6

FG = 5×5 - 6

FG = 25 - 6

FG = 19

I hope I helped you.

frutty [35]4 years ago

4 0

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

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