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3 years ago

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Complementary angles are two angles whose measures have a sum of 90 degrees. Angles x and y are complementary. The measure of an

gle x is 24 degrees greater than the measure of angle y. Determine the measures of angles x and y.

2 answers:

Digiron [165]3 years ago

7 0

Using the equation (x+24)+x=90 you figure out the X = 33 so y equals 33 and x equals 57

Kryger [21]3 years ago

3 0

Show me a picture of u have it so I can answer

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A right triangle has side lengths 5, 12, and 13 as shown below.

Leviafan [203]

Answer:

c

Step-by-step explanation:

a. 3in, 4in, 5 in

5^2 ? 3^2 + 4^

25 ? 9 + 16

25 = 25

Because the two sides are equal, this is a right triangle.

b. 5in, 6in, 7in

7^2 ? 5^2 + 6^2

49 ? 25 + 36

49 < 61

Because 49 < 61, this is an acute triangle.

c. 8in, 9in, 12in

12^2 ? 8^2 + 9^2

144 ? 64 + 81

144 < 145

Because 144< 145, this is an acute triangle.

3 0

3 years ago

Read 2 more answers

The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A

xz_007 [3.2K]

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

$H_0: \mu = 28$

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

$H_1: \mu > 28$ .

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

In this problem, the values of the parameters are given by:

$\overline{x} = 32, \mu = 28, \sigma = 5, n = 10$

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}$

$z = 2.53$

<h3>What is the decision?</h3>

Considering that we have a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a standard <em>significance level of 0.05</em>, the critical value is of $z^\ast = 1.645$ .

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

To learn more about the z-distribution, you can check brainly.com/question/26454209

4 0

2 years ago

If anyone could help me with this last problem, I would greatly appreciate it.

il63 [147K]

Answer:

From the given information, the value of a is 3 and the measurement of ∠R is 25°

Step-by-step explanation:

For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.

<em>ΔJKL ≅ ΔPQR</em>

This means that all of the angles and all of the sides of each triangle are going to be equal to each other.

So, knowing this, let;s find the measurement of ∠R first.

All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.

65 + 90 + m∠R = 180

Add 65 to 90.

155 + m∠R = 180

Subtract 155 from 180.

m∠R = 25°

So, the measurement of ∠R is 25°.

Now let's find the value of a.

KL is equal to PQ so we will set up an equation where they are equal to each other.

7a - 10 = 11

Add 10 to 11.

7a = 21

Divide 7 by 21.

a = 3

So, the value of a is 3.

4 0

4 years ago

A carrot cake recipe calls for 3 cups of flour, 2 cups of sugar, and 1 cup of carrots. What is the ratio of sugar to flour? A. 3

natulia [17]

Answer:

I

Step-by-step explanation:

The ratio of sugar to flour is 2 is to 3 cups

3 0

3 years ago

a large bag of cashews weighs 8 1/3 pounds. One serving is 1/3 pound how many servings are in the bag

bixtya [17]

There are 25 servings in the bag because 25 * 1/3 is equal to 8 1/3

6 0

3 years ago