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krek1111 [17]
4 years ago
6

An angle's supplement is nine times of its complementary angle. Find the measure of the angle, the complement of the angle,and t

he supplement of the angle. Answer and Explain please.Brainliest will be given besides points .
Mathematics
1 answer:
Nezavi [6.7K]4 years ago
7 0
S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
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Answer:

The answer to your question is   2.6 tan 40  miles    

Step-by-step explanation:

To solve this problem use trigonometric functions

We must look for a trigonometric function that relates the opposite side (distance from the school to the park) and the adjacent side (distance from the lake to the school).

This trigonometric function is tangent

                    tan 40 = \frac{opposite side}{adjacent side}

Solve for Opposite side

             Opposite side = Adjacent side tan 40

Substitution

                            dSP = 2.6 tan 40                

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Answer:

65 Degree

Step-by-step explanation:

Right angle = 90 Degrees

90 - 25 = 65

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Which statement is true about this argument?
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The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
nadya68 [22]

Answer:

Length=22.5cm, Breadth=11.5cm

Step-by-step explanation:

Let length be l and width be w.

w+22=l

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w=46 divided by 4

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Hence,

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