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svetlana [45]
3 years ago
13

An angle measures 18 more than the angle of its complementary what is the measure of each angle

Mathematics
2 answers:
Debora [2.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

complementary angles, when added, equal 90 degrees

so if 1 angle is x, then the other angle, its complement,  is 90 - x.

x - 18 = 90 - x

x + x = 90 + 18

2x = 108

x = 108/2

x = 54

90 - x = 90 - 54 = 36

so one angle is 54 and its compliment is 36

Ksivusya [100]3 years ago
4 0

Answer:

71

Step-by-step explanation:

Complementary angles have measures that add to 90°.

ABC and CBD are complementary angles.

Since the angles are complementary, their measures must add to 90°. Set up an equation and solve for n.

n +  18° =  90°

n +  18° −  18° =  90°  −  18°

n =  72°

The measure of the complementary angle is 72°.

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Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
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Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

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recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

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  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

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