10 POINTS! Answer ASAP

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

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$n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36$

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$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

We want for this case a 95% of confidence desired, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: