9514 1404 393
Answer:
B. x < 17
Step-by-step explanation:
x is a leg of right triangle ADC, so must have a length less than the hypotenuse. (x < 20)
x is a leg of triangle ABC, so must have a length between 20-17 = 3 and 20+17=37. The first restriction limits x to ...
3 < x < 20 . . . . . allows x ≥ 17
The Pythagorean theorem applied to the right triangle requires ...
x^2 +y^2 = 400
Angle ABC is opposite side AC, which has length 20. Angle BAC is opposite side BC, which has length 17. The longer length of AC means that angle B will always be greater than angle A in triangle ABC.
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The only condition that is not necessarily true is ...
x < 17
