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3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

svetoff [14.1K]3 years ago

6 0

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

NemiM [27]3 years ago

3 0

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

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garik1379 [7]

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3 years ago

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con

AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

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

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence $\alpha = 0.98$ , z is the value of Z that has a p-value of $\frac{1+0.98}{2} = 0.99$ , so the critical value is z = 2.327.

The population standard deviation is of $\sigma = 23$ , and to find the sample size, we have to solve for n when M = 4.

Hence:

$M = z\frac{\sigma}{\sqrt{n}}$

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Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

Help me pleaseeee Find x and y.

Alex777 [14]

Answer:

x = 45°

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Step-by-step explanation:

Given quadrilateral is a square. Each angle of square is 90°

Diagonal of square bisects the angle.

$\therefore \: x = \frac{90 \degree}{2} = 45 \degree \\ \\ \because \: diagonal \: of \: square \: is \: \sqrt{2} \: times \: the \: \\ side \: of \: square \\ \therefore \: y = \sqrt{2} \times 10.9 \\ \therefore \: y = 1.414 \times 10.9 \\ \therefore \: y = 15.4126 \\ \therefore \: y \approx \: 15.41 \: units$

7 0

4 years ago

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