Question

if jk = 2x, kl = 17, and jl = 4x - 3, what is jk? 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 the equation $4x-3=2x + 17$.

Step2: Solve for x

Subtract $2x$ from both sides: $4x-2x-3=2x-2x + 17$, which simplifies to $2x-3=17$. Then add 3 to both sides: $2x-3 + 3=17+3$, so $2x=20$. Divide both sides by 2: $x = 10$.

Step3: Find the value of JK

Since $JK = 2x$ and $x = 10$, then $JK=2\times10=20$.

Answer:

20