lilygh0626 lilygh0626

14-08-2022
Mathematics

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GH bisects CF. CF = 2y-2 and CD = 3y -11. find CD

GH bisects CF CF 2y2 and CD 3y 11 find CD class=

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profarouk profarouk

14-08-2022

Answer:

CD = 4

Step-by-step explanation:

GH bisects CF means CF = 2 CD

CF = 2 CD

⇔ 2y - 2 = 2×(3y - 11)

⇔ 2y - 2 = 6y - 22

⇔ 22 - 2 = 6y - 2y

⇔ 20 = 4y

⇔ y = 5

Calculating CD ,For y = 5 :

CD = 3y - 11

= 3(5) - 11

= 15 - 11

= 4

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