Question

Use the figure for 10 - 12. X is the midpoint of PQ.

10: Find PX
11. Find XQ
12. Find PQ​

Answer 1

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

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

Answer 2

see explanation

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