If two angles are complementary, the sum of their measures is 90 degrees. Call one of the angles x. This means that its complement is 90 - x degrees. But the difference in their measures is 12 degrees.

6 0

3 years ago

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The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle

erma4kov [3.2K]

This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.

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3 years ago

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A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all s

siniylev [52]

Answer:

The answer is "Choice D"

Step-by-step explanation:

Determining the information:

For " $X \subseteq A$ " and " $Y \subseteq A$ ", $X$ relates to $Y$ when $X$ and $Y$ has the same cardinality. therefore, R does not have reflective: