Answer:
[tex]EF = 62[/tex]
Step-by-step explanation:
Given
[tex]CG = 11x-5[/tex]
[tex]GD=13x-15[/tex]
[tex]EF=12x+2[/tex]
Required
Determine EF
Since EF is a bisector of CD at G, then
[tex]CG = GD[/tex]
[tex]11x- 5 = 13x - 15[/tex]
Collect Like Terms
[tex]11x - 13x = 5 - 15[/tex]
[tex]-2x = -10[/tex]
Solve for x
[tex]x = -10/-2[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]EF=12x+2[/tex]
[tex]EF = 12 * 5 + 2[/tex]
[tex]EF = 60+ 2[/tex]
[tex]EF = 62[/tex]
