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kap26 [50]
3 years ago
5

The measure of an angle is nine times the measure of its complement. find the measure of each angle.

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
Two angles are complementary when they add up to 90 degrees<span> 

</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9°  ← smaller angle

larger angle = 9x = 9 * 9 = 81°

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Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

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Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that t_{\alpha/2}=1.81

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65+1.81\frac{9}{\sqrt{11}}=69.91

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We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

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