Question

Given that CM = 3x - 2 MR = x + 8 and CR = 46 find MR

Answer 1

From the figure, we can write:

`CR=CM+MR`

Given

CM = 3x - 2

MR = x + 8

CR = 46

Let's substitute them into the equation and find the value of x:

`\begin{gathered} CR=CM+MR \\ 46=3x-2+x+8 \\ 46=4x+6 \\ 46-6=4x \\ 40=4x \\ x=(40)/(4) \\ x=10 \end{gathered}`

We want to find the length of MR. So we substitute x = 10 into the expression for MR.

Shown below:

`\begin{gathered} MR=x+8 \\ MR=10+8 \\ MR=18 \end{gathered}`