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3 years ago

One of the angles formed by two intersecting lines is 30°. What is the measure of the other three angles?

1 answer:

6 0

Since opposite angles on an intersecting line(s) are equal, you already know one of the three angles are 30° because one of the given angles is 30°. To find other two angles, add the two 30°s together to get 60° and subtract that from 360° because all the angles combined have to equal 360°, which is 300°. To get each angle separately, divide 360 by 2, which is 150. Thus, the measure of the other three angles angles are 30°, 150°, and 150°.

Hope this helps!

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<h3>Standard Deviation</h3>

difference between each number and mean,

$x_1 -\mu= 76-81 = -5\\
x_2-\mu = 87-81 = 6\\
x_3-\mu = 65-81 = -16\\
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$\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2$

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<h3>Variance</h3>

Variance = $\sigma ^2$

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Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

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