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2 years ago

I’m stuck on this problem help

Mathematics

1 answer:

Anika [276]2 years ago

8 0

An easy way to think of this when you solve this, is to remember that all the angles in a triangle add up to 180 degrees. Therefore, the equation would be
(3x + 10) + (2x + 10) + 45 = 180. By the way, since the angles D and B are across from each other they are congruent. Now, let’s start solving it:
(3x + 10) + (2x + 10) + 45 = 180
(5x + 20) + 45 = 180
5x + 65 = 180
5x = 115
x = 23

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The local newspaper has letters to the editor from 40 people. If this number represents 2% of all of the newspaper's readers,

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1 year ago

Suppose we take a random sample of 41 state college students. Then we measure the length of their right foot in centimeters. We

Debora [2.8K]

Answer:

$ME = \frac{25.09-21.01}{2}= 1.69$

The general formula for the margin of error is given by:

$ME= t_{\alpha/2} \frac{s}{\sqrt{n}}$

And for this case the width is:

$Width= 2*t_{\alpha/2} \frac{s}{\sqrt{n}}$

And if we decrease the confidence level from 95% to 90% then the critical value $t_{\alpha/2}$ would decrease and in effect the width for this new confidence interval decreases.

As confidence level decreases, the interval width decreases

Step-by-step explanation:

For this cae we know that the sample size selected is n =41

And we have a confidence interva for the true mean of foot length for students at a college selected.

The confidence interval is given by this formula:

$\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}$

And for this case the 95% confidence interval is given by: (21.71,25.09)

A point of etimate for the true mean is given by:

$\bar X = \frac{21.71+25.09}{2}= 23.4$

And the margin of error would be:

$ME = \frac{25.09-21.01}{2}= 1.69$

The general formula for the margin of error is given by:

$ME= t_{\alpha/2} \frac{s}{\sqrt{n}}$

And for this case the width is:

$Width= 2*t_{\alpha/2} \frac{s}{\sqrt{n}}$

And if we decrease the confidence level from 95% to 90% then the critical value $t_{\alpha/2}$ would decrease and in effect the width for this new confidence interval decreases.

As confidence level decreases, the interval width decreases

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2 years ago

What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves

Oduvanchick [21]

Answer:

The answer is

$y = - \frac{5}{2} x - 1$

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

$5x + 2y = 12$

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

$5x + 2y = 12 \\ 2y = 12 - 5x \\ \frac{2y}{2} = \frac{12}{2} - \frac{5}{2} x \\ y = 6 - \frac{5}{2} x \: \\ or \: \\ y = - \frac{5}{2} x + 6$

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

$y = mx + c \\ 4 = - \frac{ 5}{2} ( - 2) + c \\ 4 = \frac{10}{2} + c \\ 4 = 5 + c \\ 4 - 5 = c \\$

$c = - 1 \\ hence \: the \: equation \: for \: the \: \\ parallel \: line \: is \\ \: y = - \frac{5}{2} x - 1$

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1 year ago

A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the

Tems11 [23]

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

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2 years ago

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to co

lutik1710 [3]

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

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1 year ago

Read 2 more answers