GH bisects CF, CF=2y-2, and CD=3y-11. Find CD and Y

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Mathematics

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28 July, 04:39

GH bisects CF, CF=2y-2, and CD=3y-11. Find CD and Y

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Mckayla · Answer 1

Since GH bisects CF, therefore:

CD = (1/2) CF

3y - 11 = (1/2) (2y - 2) (multiply both sides by 2)

6y - 22 = 2y - 2

6y - 2y = - 2 + 22

4y = 20

y = 5

Substitute with the value of y in the equation of CD, you get:

CD = 3y-11 = 3 (5) - 11 = 15 - 11 = 4 cm