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Westkost [7]
1 year ago
15

Chords AC and DB intersect at point E. Select all pairs of angles that must be congruent.

Mathematics
1 answer:
Basile [38]1 year ago
5 0

∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.

<h3>What are congruent angles?</h3>

Congruent angles are said to be angles that have equal measure.

From the figure, we can see that;

∠ADE and ∠ACB are congruent because they are corresponding angles, corresponding angles are equal.

∠DEA and ∠CEB are congruent because they are corresponding angles

∠CAD and ∠CBD are also congruent because they are corresponding angles

Therefore, ∠ADE and ∠ACB, ∠DEA and ∠CEB,  ∠CAD and ∠CBD are pairs of angles that must be congruent.

Learn more about congruent angles here:

brainly.com/question/1675117

#SPJ1

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A researcher is studying the monthly gross incomes of drivers for a ride sharing company. (Gross incomes represent the amount pa
Reptile [31]

Answer:

The histogram of the sample incomes will follow the normal curve.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.

He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.

As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.

Thus, the histogram of the sample incomes will follow the normal curve.

8 0
3 years ago
(x+3)^2=43
suter [353]
The answer is 2 hope this helps
7 0
2 years ago
Read 2 more answers
16^1/2 x 2^-3 what is this
Minchanka [31]

Please find attached photograph for your answer. Please do mark me Brainliest

3 0
2 years ago
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If you have a vertical angle and the side angles are 83 and 83 whats the other one?
Hoochie [10]

Answer:

97°

Step-by-step explanation:

you do 83*2=166 and then 360-166=194 which is the total sum of the two unknown vertical angles. once you have that, divide it by 2 to get 194/2=97° as the measure of each individual unknow vertical angle

7 0
3 years ago
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What is 8 2/5% of 75? Write your answer as a decimal
likoan [24]

Answer: 0.875

Step-by-step explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

What

=

Any variable like

x

Percent / Percentage / %

=

Divide by 100

of

=

Multiply

is

=

Put an equal to (

=

) sign

I’ll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

x

( What) /100 ( percent)

×

( of) 200

=

( is) 5

In a refined form,

x

100

×

200

=

5

Calculate x. On calculating, x comes out to be

2.5

So, 2.5 percent of 200 is 5.

Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

87.5

%

=

87.5

100

and now using the same strategy, Ans:

875

1000

Disregard the next section if you know how to convert a decimal to a fraction

Section Starts

First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by

n

number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.

In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I’ll teach you how to convert a decimal into a fraction.

Here, you see 2 types of “numbers”. One to the left side of the decimal point and one to the right side of the decimal point.

Here, left side of decimal point is 0 and right side of decimal point is 875.

Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)

Remove the decimal point and divide the number by a number formed by 1 followed by the “digits” we obtained (i.e. 3).

So, 875/1000. Simplify this, and you get your answer.

5 0
2 years ago
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