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iragen [17]
2 years ago
11

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o

ne angle is 6º more than three times the other angle. ​
Mathematics
1 answer:
nirvana33 [79]2 years ago
4 0

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

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When you have a coefficient in front of the "x^2" value, you have to multiply it by the end value (4)

so you want a set of integers that will add up to 29, by multiple to (7 x 4) = 28

The only numbers like that are 28 and 1, they add up to 29 and multiply to 29

Therefore, rewrite it like this 7x^2 + 28x + x + 4

and then factor out the 7x in the first two terms, to get this 

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2 years ago
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erastovalidia [21]

\frac{35e {}^{9} }{5 {e}^{8} }  \ \\  \\   \frac{7e {}^{9} }{e {}^{8} }  \\  \\  \\  = 7e

Step By Step Explanation:

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Alternate Forms:

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3 years ago
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There is a mathematical formula which relates these quantities, given by:

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Step-by-step explanation:

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Answer:

I have send u picture

Step-by-step explanation:

I think this will help u

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