What is a range of possible values for x?

Question

PLEASE ANSWER THIS. What is a range of possible values for x?

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Answer 1

Hinge Theorem: If two sides of two triangles are congruent, the angle opposite the smaller of the remaining side of the two triangles must be less.

Since the angel x-13 is opposite side length 22 and 75 is opposite side length 23, x-13 has to be less than 75. Since the angle must also be greater than 0, we get the inequality:

0 < x - 13 < 75 ---> 13 < x < 88.

Answer 2

0<x-13<75

13<x<88