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4 years ago

All help is appreciated. Find m

Mathematics

2 answers:

AleksAgata [21]4 years ago

8 0

The answer will be 73 degrees

Annette [7]4 years ago

3 0

Answer:

B.) 73°

Step-by-step explanation:

To find m<A, first you must find it's supplementary angle. In order to do this, you must determine the missing interior angle. We'll call the missing angle x

A pentagon has 540°. Add up the known angles.

96°+118°+115°+104°+x = 540°

433°+x = 540°

x = 107°

Now that we know the value of x, we can find the m<A. Supplementary angles are two angles that add up to 180°, which is a flat line. We can see in the diagram that m<a + 107° is a flat line, meaning m<a + 107° = 180°

Solve accordingly.

m<a + 107° = 180°

m<a = 73°

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Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

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3 years ago

What is the solution to the inequality?

fiasKO [112]

B. x > -4 I did da test. That's da correct one :-)

7 0

3 years ago

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th

Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 550, \sigma = 100$

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

$1.28 = \frac{X - 550}{100}$

$X - 550 = 100*1.28$

$X = 678$

The value that represents the 90th percentile of scores is 678.

4 0

3 years ago

Slope=-3 goes through (1,2) whats the equation

dedylja [7]

Hi student, let me help you out! :)

..............................................................................................................................................

We are asked to find the equation of the line, using the given information:

$\star~\mathrm{-3}$ , which is the slope

$\star~\mathrm{(1,2)}$ which is a point that the line contains

$\triangle~\fbox{\bf{KEY:}}$

The slope is the number before x, in the form $\mathtt{y=mx+b}$ .

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

$\dag~\mathtt{y=-3x+b}$

|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

$\dag~\mathtt{2=-3x+b}$