24 . C
To satisfy the Triangle Inequality Theorem, adding the two shorter sides
must give you more than the longest side. In (B), (D), and (E), the two
shorter sides add up to less than the longest side, and in (A), they add up
to the same as the longest side. Only in (C) do they add up to more.25 . A
If sin x is 0.5, then the side opposite x is one-half the hypotenuse. In other
words, this is a 30-60-90 triangle with familiar side ratios:
Tangent is opposite over adjacent, so26 . E
When x and y have different signs, (that is, when the point is in the
second or fourth quadrant), is negative, so for no point in those
quadrants can be greater than 1. That eliminates (A) and (C). When x
and y are both positive, will be greater than 1 if x is greater than y.