Question

find jl. figure is not drawn to scale.

Explanation:

Step1: Set up equation

Since $JL = JK+KL$ and $JL = 4y - 48$, $JK=y$, $KL = 9$, we have $y + 9=4y-48$.

Step2: Solve for y

Subtract y from both sides: $9=4y - y-48$, so $9 = 3y-48$. Add 48 to both sides: $9 + 48=3y$, $57 = 3y$. Divide both sides by 3: $y=\frac{57}{3}=19$.

Step3: Find JL

Substitute $y = 19$ into the expression for JL. $JL=4y-48$. So $JL=4\times19 - 48=76 - 48 = 28$.

Answer:

28