Question

find rs
9
r
q
3x + 2
x + 5
s

Explanation:

Step1: Assume R is the mid - point of QS.

Set up the equation $x + 5=3x+2 - 9$.

Step2: Simplify the right - hand side.

$x + 5=3x - 7$.

Step3: Move x terms to one side.

$5+7=3x - x$.

Step4: Combine like terms.

$12 = 2x$.

Step5: Solve for x.

$x = 6$.

Step6: Find RS.

RS=$x + 5$, substitute $x = 6$, so RS=$6 + 5=11$.

Answer:

11