Question

6. If X is the midpoint of WY, WX = 3x - 1 and WY = 10x – 26, find XY.

Answer 1

The length of XY is 17 units

Step-by-step explanation:

A mid-point of a line segment

• Divide it into two equal segments
• Each segment is half the length of it

∵ X is the mid-point of WY

∴ WX = XY

∴ WX = $\frac{1}{2}$ WY and XY = $\frac{1}{2}$ WY

∵ WX = 3x - 1

∵ WY = 10x - 26

- By using the rule WX = $\frac{1}{2}$ WY

∴ 3x - 1 = $\frac{1}{2}$ (10x - 26)

- Simplify the right hand side

∴ 3x - 1 = 5x - 13

- Add 1 to both sides

∴ 3x = 5x - 12

- Subtract 5x from both sides

∴ -2x = -12

- Divide both sides by -2

∴ x = 6

∵ XY = WX

∵ WX = 3x - 1

∴ XY = 3x - 1

- Substitute the value of x in the expression of XY

∴ XY = 3(6) - 1

∴ XY = 18 - 1

∴ XY = 17 units

The length of XY is 17 units

Learn more:

You can learn more about the mid-point in brainly.com/question/3269852

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