Question

1. if $ln = 54$ and $lm = 31$, find $mn$.

Explanation:

Step1: Identify the relationship

We know that on a line - segment $LN$, if $M$ lies between $L$ and $N$, then $LN=LM + MN$.

Step2: Solve for $MN$

We can re - arrange the formula $LN=LM + MN$ to get $MN=LN - LM$.
Substitute $LN = 54$ and $LM = 31$ into the formula: $MN=54−31$.
$MN = 23$

Answer:

$23$