From the figure, we can write:
[tex]CR=CM+MR[/tex]
Given
CM = 3x - 2
MR = x + 8
CR = 46
Let's substitute them into the equation and find the value of x:
[tex]\begin{gathered} CR=CM+MR \\ 46=3x-2+x+8 \\ 46=4x+6 \\ 46-6=4x \\ 40=4x \\ x=\frac{40}{4} \\ x=10 \end{gathered}[/tex]
We want to find the length of MR. So we substitute x = 10 into the expression for MR.
Shown below:
[tex]\begin{gathered} MR=x+8 \\ MR=10+8 \\ MR=18 \end{gathered}[/tex]
