Answer:
QS = 30
Explanation:
Since R is the mid point QR = RS
Given QR = 6x – 51 and RS = 2x – 7 then
6x – 51 = 2x – 7, isolate like terms
6x -2x = 51 -7 , combine like terms
4x = 44, divide both sides by 4
x = 11
QS = QR + RS
QS = 6x -51 +2x -7 , combine like terms
QS = 8x - 58, substitute x= 11 in the equation
QS = 8*11 -58, multiply 8 and 11
QS = 88 -58
QS = 30