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scoundrel [369]
3 years ago
7

Given:  m∠p =47BD∥AC What is the m∠m? Put only the number. Do not label your answer.

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer: 43\°

Step-by-step explanation:

Observe the given figure.

You can identify that the measure of the angle "B" is:

m\angle B=90\°

Knowing this, you can conclude that the angle "p" and the angle "m" are Complementary angles, which means that the sum of their measures is 90 degrees. Then, you can write the following equation:

m\angle p+m\angle m=90\°   [Equation 1]

You know that:

m\angle p=47\°

Then you can substitute it into the [Equation 1] and then solve for m\angle m. Therefore, you get:

 47\°+m\angle m=90\°\\\\m\angle m=90\°-47\°\\\\m\angle m=43\°

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Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

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And for the standard deviation we can use the following formula:

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And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

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If we calculate the sample mean we can use the following formula:

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And replacing we got:

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

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