Question

if (kl = 5), (lm = 3x), and (km = 4x), what is (lm)?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $KM=KL + LM$, we substitute the given values: $4x=5 + 3x$.

Step2: Solve for $x$

Subtract $3x$ from both sides of the equation $4x=5 + 3x$. We get $4x-3x=5+3x - 3x$, which simplifies to $x = 5$.

Step3: Find the value of $LM$

Since $LM = 3x$ and $x = 5$, then $LM=3\times5=15$.

Answer:

15