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Nutka1998 [239]
3 years ago
12

Find the measurement of both complementary angles, if one of them is 3 times greater than the other one.

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Complementary angles are angles whose sum is 90 degrees.  To solve this problem, we can set up an equation:

x+3x=90

In this equation, x represents the smaller angle, so the second angle is 3 times it (3x), and the sum of the angles is 90.  Now, solve for x.

<em>*Combine like terms*</em>

4x=90

<em>*Divide both sides by 4*</em>

x=22.5


22.5 degrees is the measure of the smaller angle.


However, the question asks for <u>both</u> angles so you also need to find the measure of the larger angle.  This is simple: just multiply the measure of the smaller angle (22.5) by 3:

22.5x3=67.5


67.5 degrees is the measure of the larger angle.


Hope this helps!!

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Answer:

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Step-by-step explanation:

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Point F would be outside this circle if d(J,\, F) > r. (In other words, the distance between F\! and the center of this circle exceeds the radius of this circle.)

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\begin{aligned}d(J,\, F) &= \sqrt{(x_j - x_f)^{2} + (y_j - y_f)^{2}}\\ &= \sqrt{(3 - (-6))^{2} + (3 - (-5))^{2}} \\ &= \sqrt{145}  \end{aligned}.

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