Question

if k is the midpoint of jl, jk = 8x + 11 and kl = 14x - 1. find jl *
o 2
o 27
o 54

Explanation:

Step1: Set JK equal to KL

Since K is the mid - point of JL, JK = KL. So, we set up the equation $8x + 11=14x - 1$.

Step2: Solve for x

Subtract $8x$ from both sides: $11 = 14x-8x - 1$, which simplifies to $11 = 6x - 1$. Then add 1 to both sides: $11 + 1=6x$, so $12 = 6x$. Divide both sides by 6, we get $x = 2$.

Step3: Find the length of JK or KL

Substitute $x = 2$ into the expression for JK: $JK=8x + 11=8\times2+11=16 + 11=27$. Since KL is also equal to 27 (because JK = KL).

Step4: Calculate JL

Since JL=JK + KL and JK = KL = 27, then $JL=27+27 = 54$.

Answer:

54