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3 years ago

Plz help quick! :)))))

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

7 0

Answer:

a = 60

60°, 60°, 120°, and 120°

Step-by-step explanation:

So we know that the sum of the angle measures of the quadrilateral is 360° and that the four angle measures are a, 2a, a, and 2a. This means that the sum of a, 2a, a, and 2a should equal 360.

a + 2a + a + 2a = 360

Combine like terms.

6a = 360

Divide both sides by 6.

a = 60

So the value of a would be 60.

Now to find the angle measures from least to greatest, we would have to find the values of a, 2a, a, and 2a.

a = 60

2a = 120

a = 60

2a = 120

So the angle measures from least to greatest is 60°, 60°, 120°, and 120°.

I hope you find my answer and explanation to be helpful. Happy studying.

lara31 [8.8K]3 years ago

5 0

Answer:

a=60 degrees

Step-by-step explanation:

Total angle measurements=360 so

2a+2a+a+a=360

2(60)+2(60)=240

240+60+60=360

----------------------------

So a=60

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20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.

At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So

$H_0: \mu = 28.76$

At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So

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$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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This means that $\mu = 28.76$

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This means that $\sigma = 7.5, X = 33, n = 32$ .

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$z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}$

$z = 3.2$

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The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level $\alpha = 0.05$ .

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