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Dahasolnce [82]
3 years ago
15

In the figure, p || q.

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

m3 = m7:  corresponding angles

m1 = m4:  vertical

m5 = m8: vertical

m1 = m5:  corresponding

m1 = m8:  alternate exterior angles

m2 = m6: corresponding

m2 = m3: vertical

m4 = m8: corresponding

m6 = m7: vertical

m3 = m6: alternate interior

m2 = m7: alternate exterior angles

m4 = m5: alternate interior angles

Step-by-step explanation:

Corresponding angles are in matching corners

Vertical angles are opposite angles with the corner touching

Alternate interior angles are opposite angles on the inside of the lines

Alternate exterior angles are opposite angles on the outside of the lines

m3 = m7:    matching corners


corresponding angles

m1 = m4:  opposite angles with corner touching


vertical angles

m5 = m8:  opposite angles with corner touching


vertical

m1 = m5:  matching corners


corresponding

m1 = m8:  opposite angles on the outside of the lines


alternate exterior angles

m2 = m6:  

matching corners


corresponding

m2 = m3:  opposite angles with corner touching


vertical

m4 = m8:  matching corners


corresponding

m6 = m7:  opposite angles with corner touching


vertical

m3 = m6:  opposite angles on the inside of the lines


alternate interior

m2 = m7:  opposite angles on the outside of the lines


alternate exterior angles

m4 = m5:  opposite angles on the inside of the lines

alternate interior angles

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Answer:

1) n=114

2) n=59

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Step-by-step explanation:

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Part 1

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And on this case we have that ME =\pm 0.06 or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimate of \het p we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

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Part 2

On this case we have a prior estimate for the population proportion and is \hat p =0.85 so replacing the values into equation (b) we got:

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And rounded up we have that n=59

Part 3

On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

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