Answer :
The length of EG is 19
How to determine the value
From the information given, we have that:
- The line segment is CD
- EF bisects the line CD at point G
- Length of CG = 5x-1
- Length of GD = 7x - 13
- Length of EF = 6x - 4
- Length 0f GF = 13
We know that CG = GD
5x-1 = 7x-13
collect like terms
2x = 12
x = 6
Now given that,
EF = 6x-4
GF = 13
We know
EF = EG + GF
6x - 4 = EG + 13
collect like terms
EG = 6x - 4 - 13
EG = 6x - 17
Substitute the value of x = 6, in order to find the EG
EG = 6 (6 )- 17
Expand the bracket
EG = 36 - 17
EG = 19
Thus, the length of EG is 19
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