Question

Given that R is the midpoint /QS.QR= 6x and RS = 2x-1 find QS

Answer 1

Given R is the midpoint of Q and S, we can say that:

`QR=RS`

Given

QR = 6x - 9

and

RS = 2x - 1

So, we equate both expressions and find x. The process shown below:

`\begin{gathered} 6x-9=2x-1 \\ 6x-2x=-1+9 \\ 4x=8 \\ x=(8)/(4) \\ x=2 \end{gathered}`

We want o figure out the length of QS. We can write an expression for QS and plug in the value for x and find the length. Shown below:

`\begin{gathered} QS=QR+RS \\ QS=6x-9+2x-1 \\ QS=8x-10 \\ QS=8(2)-10 \\ QS=16-10 \\ QS=6 \end{gathered}`