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Ksivusya [100]
2 years ago
7

Is it possible to rewrite any proof that uses the AAS Congruence Theorem as a proof that uses the ASA Congruence Theorem? Explai

n your reasoning.
Mathematics
1 answer:
barxatty [35]2 years ago
6 0

Answer: Yes

Step-by-step explanation:

If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.

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Answer:

70

Step-by-step explanation:

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2 years ago
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Define the random variables X and X in words. X is the amount of time an individual waits at the courthouse to be called for ser
densk [106]

<u>Question</u>

Suppose that a committee is studying whether or not there is excessive time waste in our judicial system. It is interested in the mean amount of time individuals spend at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 4 hours with a sample standard deviation of 1.2 hours. Define the random variables X and \bar{X} in words.

Answer:

(B)

  • X is the amount of time an individual waits at the courthouse to be called for service.
  • \bar{X}  is the mean wait time for a sample of individuals.

Step-by-step explanation:

The random variable X is the amount of time for which each of the prospective juror waits at the courthouse before being called for service.

\bar{X}  is the mean wait time for a the given sample of individuals. In the case given,

5 0
3 years ago
In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original
sp2606 [1]

In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.

What is Bayes Theorem?

The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.

The Formula for Bayes' Theorem

The Bayes' theorem is given as,

P(A|B) = P(A).P(B|A) / P(B)

Here, for two events A and B,

P(A|B) is the probability for likelihood of A when B is true

P(B|A) is probability for likelihood of B when A is true

P(A) is the independent probability of event A

P(B) is the independent probability of event B

Learn more about Bayes' theorem here:

brainly.com/question/17010130

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5 0
1 year ago
Two similar parallelograms have areas of 18in^2 and 32in^2. find the ratio of their perimeters
raketka [301]
   
\displaystyle\\&#10;k =  \frac{P_1}{P_2} =  \sqrt{ \frac{A_1}{A_2} }=\sqrt{\frac{18}{32}}=\sqrt{\frac{9\times2}{16\times2}}=\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}= \boxed{\bf \frac{3}{4}}



3 0
3 years ago
Find the slope of the line.
Georgia [21]

Answer:

\displaystyle m=1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-4, -1)

Point (1, 4)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    \displaystyle m=\frac{4+1}{1+4}
  2. Add:                                     \displaystyle m=\frac{5}{5}
  3. Divide:                                 \displaystyle m=1
4 0
3 years ago
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