Question

Point K is between points J and L. KL= 9x+2, KJ=5x-8 and JL=12x. Find KL.

Answer 1

Let's take a look at the situation:

From here, we can conclude that:

`5x-8+(9x+2)=12x`

Solving for x,

`\begin{gathered} 5x-8+9x+2=12x \\ \rightarrow14x-6=12x \\ \rightarrow14x-12x=6 \\ \rightarrow2x=6\rightarrow x=(6)/(2) \\ \\ \Rightarrow x=3 \end{gathered}`

Since

`KL=9x+2`

We'll have that

`\begin{gathered} KL=9x+2\rightarrow KL=9(3)+2 \\ \Rightarrow KL=29 \end{gathered}`

ANSWER: KL = 29