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Ede4ka
18 days ago
11

If EF bisects CD, CG = 5x-1, GD = 7x-13, EF=6x-4, and GF = 13, find EG (MUST SHOW WORK)

Mathematics
1 answer:
AnnZ [3.9K]18 days ago
3 0

Answer:

EG = 19

Explanation:

We have a line segment CD that is bisected at point G by EF.

The length CG is expressed as 5x - 1,

while GD measures 7x - 13.

Since G bisects CD, these lengths are equal, so:

5x - 1 = 7x - 13

Solving for x,

2x = 12

x = 6

Further, EF equals 6x - 4, and GF is 13.

Because EF = EG + GF,

we write 6x - 4 = EG + 13

Rearranged, EG = 6x - 17

Substituting x = 6,

EG = 6*6 - 17

EG = 19

This is the final value.

I hope this helps you understand the solution.

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