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stepladder [879]
4 years ago
13

Can two vertical angles form a linear pair?

Mathematics
1 answer:
weqwewe [10]4 years ago
6 0
Adjacent Angles<span> are </span>two angles<span> that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but </span>do<span> not overlap.) A </span>Linear Pair<span> is </span>two<span> adjacent</span>angles<span> whose non-common sides </span>form<span> opposite rays. ... ∠1 and ∠3 are not </span>vertical angles<span> (they are a </span>linear pair<span>).</span>
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The average heights of a random sample of 400 people from a city is 1.75 m. It is known that the heights of the population are r
Dimas [21]

Answer:

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So

\sigma = \sqrt{0.16} = 0.4

Then

M = 1.96*\frac{0.4}{\sqrt{400}} = 0.0392

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m

The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

4 0
4 years ago
A rectangular house measuring 50 feet by 24 feet is to have a gravel pathway of constant width built all around it. There is eno
Maksim231197 [3]
First, we determine the area of the rectangular house by multiplying the length by the width. That is,
             area of the house = (50 ft)(24 ft) = 1200 ft²
Given that all sides of the house should have the pathway, the length of the house plus the pathway should be 50+2x and the new width would be 24+2x. The new area minus the original area of the house should not be more than 345 ft². Thus, the equation would be,
                                   (50+2x)(24+2x) - 1200 ≤ 345 
3 0
3 years ago
What is the slope of the line that passes through the pair of point? (5, 7), (2, 1)
choli [55]

The slope of the line that passes through the pair of point (5, 7), (2, 1) is 2

<em><u>Solution:</u></em>

Given that line that passes through the pair of point (5, 7), (2, 1)

To find: slope of the line

<em><u>The slope of line is given as:</u></em>

For a line passing through two points (x_1, y_1) and (x_2, y_2) slope is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here in this problem,

\left(x_{1}, y_{1}\right)=(5,7) \text { and }\left(x_{2}, y_{2}\right)=(2,1)

<em><u>Substituting the values in above formula,</u></em>

m=\frac{1-7}{2-5}=\frac{-6}{-3}=2

Thus the slope of given line is 2

4 0
3 years ago
Angles of Triangles Practice Riddle
kherson [118]
Would love to help but unsure what you are referring too
7 0
3 years ago
Read 2 more answers
Determine whether this is valid or invalid argument
Goryan [66]

Answer:valid

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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