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Hatshy [7]
3 years ago
11

The measure of A is 90°. Angles A and B are supplementary. What is mB?

Mathematics
2 answers:
KIM [24]3 years ago
8 0
B.90 if angles are supplementary that means they add up to 180 degrees and 90 plus 90 is 180
Umnica [9.8K]3 years ago
3 0

Answer:

B. 90

Step-by-step explanation:

Since the two angles are supplementary, this means they both are on a flat line (180 degrees)

Since both A and B add up to 180, we take that number and subtract A (90) to get our answer: 90 degrees

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Answer:

260

Step-by-step explanation:

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Which expression should you simplify to find the 90% confidence interval,
Alex787 [66]

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287

0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value is:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287

0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

8 0
3 years ago
Find measures of each exterior angle of a regular polygon with 16 sides
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The measure of each exterior angle = the measure of each central angle.
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62+62=124

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