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belka [17]
3 years ago
6

The measure of an angle is forty-four times the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

<h2>2° and 88°</h2>

Step-by-step explanation:

Suppose two angles ∠A and ∠B of measures x and y

A and B are complementary means x + y = 90

the measure of B is 44 times the measure of A means y = 44x

then we have to solve the system

x + y = 90

y = 44x

then

x + 44x = 90

then

45x = 90

then x = 90/45

          = 2

therefore

y = 44×(2)

  = 88

______________________

:)

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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X = 90

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Z = \frac{X - \mu}{\sigma}

Z = \frac{82 - 73.9}{8.9}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

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