Question

if jk = 8, kl = 3x, and jl = 5x, what is jl? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $JL=JK + KL$, we have $5x=8 + 3x$.

Step2: Solve for $x$

Subtract $3x$ from both sides: $5x-3x=8+3x - 3x$, which simplifies to $2x = 8$. Then divide both sides by 2: $x=\frac{8}{2}=4$.

Step3: Find the value of $JL$

Since $JL = 5x$ and $x = 4$, then $JL=5\times4 = 20$.

Answer:

20