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miskamm [114]
3 years ago
13

What is m∠1? Help me, please

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0

Answer:

∠1 = 72°

Step-by-step explanation:

exterior ∠ = the sum of two opposite(remote) interior ∠s

∠1 = 37° + 35°

=> ∠1 = 72°

ruslelena [56]3 years ago
5 0

Answer:

72 degrees.

Step-by-step explanation:

Angle 1 is one of the triangle's exterior angles. The exterior angle theorem states that the measure of a triangle's exterior angle is equal to the sum of the opposite interior angles. Therefore, m<1 is equal to the sum of 35 and 37:

35+37=72

m<1 = 72 degrees

I hope this helps!

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Answer:

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

s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808

And the answer for this case would be :

s= 3.81 after round the value

Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{31+33+36+41+34}{5}= \frac{175}{5}= 35

Now we can find the sampel deviation with this formula:

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

And replacing we got:

s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808

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s= 3.81 after round the value

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