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3 years ago

X and y are supplementary angles. y measures 156 What is the measure of a?

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

Supplementary angles need to add up to 180 degrees.

Subtract Y from 180:

X = 180 - 156 = 24

X = 24 degrees

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Free_Kalibri [48]

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

<h3>What are the mean and the standard error for each sample?</h3>

Considering the data given:

$\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285$

$\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973$

<h3>What is the mean and the standard error for the distribution of differences?</h3>

The mean is the subtraction of the means, hence:

$\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1$

The standard error is the square root of the sum of the variances of each sample, hence:

$s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612$

<h3>What is the confidence interval?</h3>

It is given by:

$\overline{x} \pm zs$

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

$\overline{x} - zs = -1 - 1.96(0.1612) = -1.3$

$\overline{x} + zs = -1 + 1.96(0.1612) = -0.7$

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

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2 years ago

A triangle has vertices at (3, 2), (-4,4), and (-2,5). What are the coordinates of the vertices of the image

MrMuchimi

Answer:

The triangle is translated 2 units down and 4 units to the right.

Step-by-step explanation:

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3 years ago

Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed

zalisa [80]

Answer:

Tonya proof is correct
and Pearl proof is wrong

Step-by-step explanation:

AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.

But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.

The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation

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1 year ago

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DedPeter [7]

Answer:

20/3 or 6.67 or 6 $\frac{2}{3}$ (any of these are correct)

Step-by-step explanation:

Volume of triangular pyramid formula is V = 1/3 * base area * height

V = 1/3 * 5 * 4 = 20/3

20/3 or 6.67 or 6 $\frac{2}{3}$

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2 years ago

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sveticcg [70]

Answer:

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<h3>step_by istep explanation_</h3>

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