Answer:
30 and 6
Step-by-step explanation:
Given that R is the midpoint of QS , then
RS = QR , that is
5x = 3x + 6 ( subtract 3x from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then
QS = QR + RS
= 3x + 6 + 5x
= 8x + 6
= 8(3) + 6
= 24 + 6
= 30
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Similarly
QR = RS , that is
6x - 9 = 2x - 1 ( subtract 2x from both sides )
4x - 9 = - 1 ( add 9 to both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
QS = QR + RS
= 6x - 9 + 2x - 1
= 8x - 10
= 8(2) - 10
= 16 - 10
= 6
