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grandymaker [24]
3 years ago
14

If EF bisects CD, CG = 11x-5, GD=13x-15, and EF=12x+2, find EF.

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

EF =  62

Step-by-step explanation:

Given

CG = 11x-5

GD=13x-15

EF=12x+2

Required

Determine EF

Since EF is a bisector of CD at G, then

CG = GD

11x- 5 = 13x - 15

Collect Like Terms

11x - 13x = 5 - 15

-2x = -10

Solve for x

x = -10/-2

x = 5

Substitute 5 for x in EF=12x+2

EF = 12 * 5 + 2

EF =  60+ 2

EF =  62

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