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ILL GIVE BRAINLIEST
Which of the following is NOT necessarily a true statement? a.x < 20
b. x<17
C. x2 + y2 = 400
D. m_ABC > mZBAC



ILL GIVE BRAINLIEST Which Of The Following Is NOT Necessarily A True Statement Ax Lt 20 B Xlt17 C X2 Y2 400 D MABC Gt MZBAC class=

Answer :

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