Question

if (jk = 7x), (kl=x + 1), and (jl = 9), 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 $7x+(x + 1)=9$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $7x+x+1 = 9$, which simplifies to $8x+1 = 9$.

Step3: Isolate the variable term

Subtract 1 from both sides of the equation: $8x+1−1=9 - 1$, resulting in $8x=8$.

Step4: Solve for x

Divide both sides by 8: $\frac{8x}{8}=\frac{8}{8}$, so $x = 1$.

Step5: Find the length of JK

Substitute $x = 1$ into the expression for $JK$. Since $JK = 7x$, then $JK=7\times1=7$.

Answer:

7