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3 years ago

the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

$138+x+x=180 \iff 2x=42 \iff x=21$

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

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A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest

Anna11 [10]

Answer:

The population mean height of men in the village is 5.78 feet.

The sample mean height of men in the village is 7.8 feet.

Step-by-step explanation:

It is provided that the researcher's interest is in knowing the average height of the men in a village.

To the researcher, the population of interest is the men in the village, the relevant population data are the height of men in the village, and the population parameter of interest is the mean height of men.

It is also provided that there are 590 men in the village, and the sum of their heights is 3,410.2 feet.

Compute the average height as follows:

$\bar X_{H}=\frac{3410.2}{590}=5.78\ \text{feet}$

Thus, the population mean height of men in the village is 5.78 feet.

It is given that the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men.

The sample for his estimation is 18 men, the relevant sample data are the heights of the 18 men, and the sample statistic is the sample mean height.

It is also given that the sum of the heights of the 18 village men is 104.4 feet.

Compute the average height of the 18 men as follows:

$\bar x_{H}=\frac{104.4}{18}=7.8\ \text{feet}$

Thus, the sample mean height of men in the village is 7.8 feet.

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3 years ago

What is the value of x?

Rufina [12.5K]

Answer:

X=23

Step-by-step explanation:

You should know that a triangle =180 degrees

Add all your angles together and =180

66+2x+3+3x-4=180

add similar terms

5x+65=180

Move your 65 to the other side

5x=115

x=23

(Optional)

to check if your answer is right substitute your x and add all angles together you should get 180 degrees.

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3 years ago