Respuesta :

The value of EG is 12

  • In geometry, the term line segment is defined as the part of a line segment used to join two points in a plane. When  segments join the midpoints of  two sides of a triangle, the segments are parallel to the other side and represent one half of it.

Given equations of line are  :

CG = 9x -4

GD = 2x+31

EF = 4x-1

GF = 7

We are asked to find the length of EG. We can start by analyzing the bisector, CD. Since the segment is the bisector, So CG = GD.

CG = GD

9x -4 = 2x+31

7x = 35

x = 5

Analyzing EF

EF = EG + GF

4x-1 = EG +7

20 - 1 -7 = EG

EG = 12

The value of EG is 12

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