Question

1. find lm first find x then, find $overline{lm}$ $overline{kl}+overline{lm}=overline{km}$ (only enter your numerical answer you do not need to enter lm= )

Explanation:

Step1: Set up the equation

Since $\overline{KL}+\overline{LM}=\overline{KM}$, we have $(x + 8)+(x + 12)=14$.
Combining like - terms, $2x+20 = 14$.

Step2: Solve for x

Subtract 20 from both sides of the equation: $2x=14 - 20=-6$.
Then divide both sides by 2: $x=\frac{-6}{2}=-3$.

Step3: Find LM

Substitute $x = - 3$ into the expression for $\overline{LM}$, which is $x + 12$.
So, $\overline{LM}=-3+12 = 9$.

Answer:

9