Respuesta :

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

Learn more about line segments here:

https://brainly.com/question/2437195

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