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3 years ago

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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