If EF bisects CD, CG = 5x-1, GD = 7x-13, EF=6x-4, and GF = 13, find EG (MUST SHOW WORK)
1 answer:
Answer:
EG = 19
Explanation:
Given that a line segment CD. EF bisects the line CD at point G.
Length of CG = 5x-1
Length of GD = 7x - 13
We know that CG = GD
5x-1 = 7x-13
Solve for x,
2x = 12
x = 6
Now given that,
EF = 6x-4
GF = 13
EF = EG + GF
6x - 4 = EG + 13
EG = 6x - 4 - 13
EG = 6x - 17
put the value of x = 6, in order to find the EG
EG = 6*6 - 17
EG = 19
That's the final answer.
I hope it will help you.
how did you get that equation to find X?
How did you find X?
5x-1=7x-13 —> subtract 7x from both sides and add 1 to both sides —> -2x-12 —> divide both sides by -2 —> x=6
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