Answer:
8 units
Explanation:
Pythagorean theorem.
WX^2 + XY^2 = WY^2
Substitute to find WX and XY.
(3x + 1)^2 + (-7 + 2x)^2 = WY^2
Simplify the equation.
13x^2 - 26x + 50 = WY^2
Now we will substitute to see which one satisfies it.
8: 13(8)^2 - 26(8) + 50 = 1146
16: 13(16)^2 - 26(16) + 50 = 4578
9: 13(9)^2 - 26(9) + 50 = 1285
18: 13(18)^2 - 26(18) + 50 = 8006
Therefore, the length of line segment WY is 8 units.
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