Answer:
RS = 8
Step-by-step explanation:
Given that R is on QS , then
QR + RS = QS , substitute values
3x - 8 + 2x = 3x , that is
5x - 8 = 3x ( subtract 3x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus
RS = 2x = 2 × 4 = 8