Answer:
PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27
PQ = PX + XQ = 27 + 27 = 54
Step-by-step explanation:
Since X is the midpoint of PQ , then
PX = QX ( substitute values )
4x + 15 = 7x + 6 ( subtract 4x from both sides )
15 = 3x + 6 ( subtract 6 from both sides )
9 = 3x ( divide both sides by 3 )
3 = x
Then
PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27
PQ = PX + XQ = 27 + 27 = 54
Hence, the correct answers are: PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27 PQ = PX + XQ = 27 + 27 = 54
