Question

K is the midpoint of JL if: JK=8x-9 and KL=2x+27 find JL

Answer 1

K is midpoint of JL. So JK = KL.

Determine the value of x.

$\begin{gathered} 8x-9=2x+27 \\ 6x=36 \\ x=6 \end{gathered}$

Determine the length of JL.

$\begin{gathered} JL=JK+KL \\ =8x-9+2x+27 \\ =8\cdot6-9+2\cdot6+27 \\ =48-9+12+27 \\ =78 \end{gathered}$

So length of Jl is 78.