two angles are complementary. The measurement of one angle is 5 less than four times the measure of the other angle. Find the number of degrees in the measure larger of the two complementary angles​

Answers

Answer 1

Answer:  71 degrees

Explanation:

Complimentary means that a pair of angles add up to 90 degrees.  

Let's call the first angle A and the second angle B.  

Then,

A + B = 90           and

A = 4B - 5            (5 less than 4 times the angle)

Now we can solve for A and B:

A + B = 90

-(A = 4B - 5)

So

A + B = 90

-A      = -4B + 5

B = -4B + 95

B + 4B = 95

5B = 95

B = 19

Now we can plug in B to solve for A.

A + B = 90

A + (19) = 90

A = 90 - 19

A = 71

The question asks for the number of degrees in the larger of the two angles, which is 71 degrees.


Related Questions

Which choice best summarizes the passage?
A
It captures a conversation between two tourists in
Switzerland

It describes the relationship between two friends.
с
It paints a picture of life in Switzerland,
D
It highlights the unconscious thoughts of an
American traveler
E
I would be guessing.

Answers

The choice that best summarizes the given passage is; A: It captures a conversation between two tourists in Switzerland

What is the summary of the passage?

The correct answer is Option A which is that the passage captures a conversation between two tourists in Switzerland.

The reason Option A is correct is that majority of the passage involves dialogue between two American tourists in a Swiss village rather than an interaction between two American tourists who have only recently met.

Lastly, the passage does not paint a picture of life in Switzerland.

Read more about summary of passage at; https://brainly.com/question/25950911

An observation that uses numbers is a _____________________________ observation.
Group of answer choices

numeric

quantitative

qualitative

observabl

Answers

The answer is quantitative
Quantitative observations are basically what the question says - and observation/measurement that can be measured with numbers
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