Question

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

Answer 1

4 units

Explanation:

Since GH bisects CF (divides into two equal parts), we can say that CF equals twice CD. From the above we can establish the following equation:

`\begin{gathered} CF=2\cdot CD \\ \\ 2y-2=2\cdot \left(3y-11\right) \\ \\ 2y-2=6y-22 \\ \\ 2y-6y=-22+2 \\ \\ -4y=-20 \\ \\ y=(-20)/(-4)=5 \\ \\ CD=3\cdot5-11=15-11 \\ \\ CD=4 \end{gathered}`

CD length is 4 units