∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ?

Mathematics

1 answer:

grin007 [14]4 years ago

6 0

Answer:

the correct answer is 14

Step-by-step explanation:

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Permudahkan setiap yang berikut

neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{4^{2}*4^{5} }{(4^{6})^{2}}=\frac{4^{2}*4^{5} }{4^{12}}\\\\=4^{2+5-12}=4^{-5}\\\\ =\frac{1}{4^{5}}$

5 0

3 years ago

A line through which two points would be parallel to a line with a slope of 3/4?

irga5000 [103]

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.

6 0

3 years ago

What is the solution of the system? Use substitution.<br> y = 6x + 2<br> 3y - 18x = 12

alisha [4.7K]

Ok so you have a equation already solved for a single variable which in this case is y. So just take 6x+2 and sub it in for all the y's in 3y-18x=12 3(6x+2)-18x=12. Now distribute the 3 to get 18x+6-18x=12. Next combine like terms to get 6=12 Now because we cant do anything else and our variable is canceled out and the equality of 6=12 is false the solution to this SoE would be No Solution. <span />

5 0

3 years ago

The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is dra

olga2289 [7]

Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, these parameters are given as follows:

$\mu = 180, \sigma = 20, n = 40, s = \frac{20}{\sqrt{40}} = 3.1623$

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

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

By the Central Limit Theorem:

$Z = \frac{X - \mu}{s}$