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3 years ago

What is the measure of each interior angle of a regular octagon?

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

5 0

Answer:

I think the answer is Option D, 135 degrees.

Since the angles of all of the octagon combined is 1080, divide that by 8 to get 135 which means that all 8 angles are 135 degrees.

alex41 [277]3 years ago

3 0

Answer:

D) 135 degrees

Step-by-step explanation:

Firstly, all sides of a regular octagon are equal, thus, the angles would be too. Since each exterior angle is supplementary to the the interior angle, in total it would be 180 degrees. We know that the sum of the angles would have to be 1080 degrees, so we only have to divide by 8.

1080/8 = 135 degrees

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What times what equals 31

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Can it be a decimal? Only one I can think of is 1 X 31

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A graduate student wanted to estimate the average time spent studying among graduate students at her school. She randomly sample

expeople1 [14]

Answer:

B. The width of the confidence interval would be smaller.

Step-by-step explanation:

By reducing the confidence level from 99% to 95%, the student assumes that there is more uncertainty about the new confidence interval than the previous one. That, being said, since the results aren't as certain, the confidence interval is widened towards a central average point because the new interval isn't as accurate.

Therefore, the answer is B. The width of the confidence interval would be smaller.

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3 years ago

What is wrong with the following proof? Clearly we know that 1 does not equal 2. What rule of algebra did we break that makes th

Gnoma [55]

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is dividing by zero (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

1 ≠ 2

In line 9., by dividing by b = 0, again, we have;

9. 1 = 2 (a contradiction)

Therefore, one rule of algebra that is broken is dividing by zero and having a finite result

Learn more about the rules of algebra here:

brainly.com/question/11388301

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3 years ago

One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak

Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

$\frac{1}{15} x + \frac{1}{30} x = 1$

This is representative of the situation. The fractions each represent how much each person does in a minute, and when they're multiplied by x, that's how much of the project they get done based off of the minutes they work together on the job. Add the two together, and you get how much of the project is finished in x amount of time. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

$\frac{1}{15} x + \frac{1}{30} x = 1$

$\frac{2}{30} x + \frac{1}{30} x = 1$