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3 years ago

One angle in a complementary pair of angles measures 3 times the other angle.

1 answer:

4 0

Answer:

22.5 degrees

Step-by-step explanation:

Complementary angles add up to be 90 degrees. You can model the simple equation $x+3x=90$ where is x is the small angle and 3x is the large angle.

$4x=90\\x=22.5$

the smaller angle is 22.5 degrees

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Westkost [7]

The third side can be represented by D) $x = \sqrt{z^{2} } -y^{2} .$

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

In the given triangle, the hypotenuse is the side that is represented by z. Another side on the triangle is represented by the value y.

Step 2:

Assume the other side of the triangle measures x units.

So according to the Pythagorean theorem,

$z^{2} = x^{2} +y^{2} , x^{2} = z^{2} - y^{2} .$

$x = \sqrt{z^{2} } -y^{2}$ which is option D.

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igor_vitrenko [27]

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Korolek [52]

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SashulF [63]

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