Question

if $kl = x + 7$, $lm = 10x$, and $km = 18$, what is $lm$?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up equation based on line - segment addition

Since $KM=KL + LM$, we have the equation $(x + 7)+10x=18$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $11x+7 = 18$.

Step3: Isolate the variable term

Subtract 7 from both sides: $11x=18 - 7$, so $11x=11$.

Step4: Solve for $x$

Divide both sides by 11: $x = 1$.

Step5: Find the value of $LM$

Since $LM = 10x$, substitute $x = 1$ into the expression for $LM$. So $LM=10\times1=10$.

Answer:

10