The length of XY is 17 units
Step-by-step explanation:
A mid-point of a line segment
∵ X is the mid-point of WY
∴ WX = XY
∴ WX = [tex]\frac{1}{2}[/tex] WY and XY = [tex]\frac{1}{2}[/tex] WY
∵ WX = 3x - 1
∵ WY = 10x - 26
- By using the rule WX = [tex]\frac{1}{2}[/tex] WY
∴ 3x - 1 = [tex]\frac{1}{2}[/tex] (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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