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3 years ago

What is the measure of angle CXE?

Mathematics

1 answer:

miskamm [114]3 years ago

3 0

Given:

m∠CXD = 30°

m∠DXE = 30°

To find:

The measure of angle CXE.

Solution:

The measure of angle CXE is sum of the measures of angle CXD and DXE.

⇒ m∠CXE = m∠CXD + m∠DXE

⇒ m∠CXE = 30° + 30°

⇒ m∠CXE = 60°

The measure of angle CXE is 60°.

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Murrr4er [49]

Q1. The answers are (–1, 8), (0, 7), (3, 18)

–3x + y ≥ 7
Let's go through all choices:

(–2, –3)
(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
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(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT

(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT

(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
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(3, 18)
(-3) * 3 + 18 ≥ 7
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Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
y ≥ 0

x - small boxes
y - large boxes

He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each on a shelf that holds up to 80 lb:
5x + 12y ≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
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5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
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So, y can be 0: y ≥ 0

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3 years ago

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Answer:

We know that lines AB and CD are parallel because if you expand them, we know they will never touch.

Step-by-step explanation:

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3 years ago

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Answer:

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Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

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The test statistic is:

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In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

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

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P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

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3 years ago

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Answer:

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3 years ago

Read 2 more answers

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the

sweet-ann [11.9K]

Answer:

24 cm wide by 36 cm high

Step-by-step explanation:

The poster with the smallest area will have an aspect ratio that makes the margin dimensions the same percentage of overall dimension in each direction.

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width of printed area = √(2/3·384 cm²) = 16 cm

Then the width of the poster is ...

width = left margin + printed width + right margin = 4cm + 16 cm + 4 cm

width = 24 cm

The height is 3/2 times that, or 36 cm.

The smallest poster with the required dimensions is 24 cm wide by 36 cm tall.

_____

If you need to see the calculus problem, consider the printed area width to be x. Then the printed height is 384/x and the overall dimensions are ...

(x + 8) by (384/x + 12)

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a = (x +8)(384/x +12) = 384 +12x +3072/x +96

a = 12x + 3072/x +480

This is a minimum where its derivative is zero.

a' = 12 -3072/x^2 = 0

a' = 1 -256/x^2 = 0 . . . . . . divide by 12; true when x^2 = 256

This has solutions x=±16, of which the only useful solution is x=16.

7 0

4 years ago

What is the measure of angle CXE?​

What is the measure of angle CXE?