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3 years ago

8

What are the angle measures?

2 answers:

ozzi3 years ago

4 0

Answer:In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor. Fun Facts. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.

Step-by-step explanation:

bezimeni [28]3 years ago

3 0

a. Equation:

3x + 21 = 6x - 60 {measure of corresponding angles is the same}

3x - 6x = -60 - 21

- 3x = - 81

b. Value of x:

x = 27

c. Ange measures:

3x + 21 = 3×27 + 21 = 81 + 21 = 102°

or:

6x - 60 = 6×27 - 60 = 162 - 60 = 102°

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The quotient of twenty-nine and a number h

satela [25.4K]

Answer:

29/h

Step-by-step explanation:

quotient is the result of division so you divide 29 by h which gives you 29/h or h/29

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2 years ago

There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually

8090 [49]

Answer:

69 students attend the camp

Step-by-step explanation:

8% of 75 = 6

75 - 6 = 69

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3 years ago

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Likurg_2 [28]

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3 years ago

A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula

kvasek [131]

Answer:

The sample proportion of printers used in small business is:

$\hat{p}=\frac{25}{70}=0.3571$

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

$\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

Where:

$z_{\frac{0.05}{2}}=1.96$ is the critical value at 0.05 significance level

$\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }$

$0.3571 \pm 0.1122$

$\left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)$

$\left(0.245,0.469 \right)$

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)

7 0

3 years ago

The distance from Wakefield to London is 180 miles. A train travels this distance in 2 hours 15 minutes. Calculate the average s

Readme [11.4K]

Answer:

v = 80 mph

Step-by-step explanation:

Given that,

The distance from Wakefield to London is 180 miles.

The train travels this distance in 2 hours 15 minutes.

We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.

$v=\dfrac{d}{t}\\\\v=\dfrac{180\ miles}{(2+\dfrac{15}{60})\ h}\\\\v=80\ mph$

So, the required average speed of the train is 80 mph.

4 0

3 years ago