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Rina8888 [55]
2 years ago
9

Based only on the information given in the diagram, which congruence

Mathematics
1 answer:
professor190 [17]2 years ago
8 0

The congruence theorems or postulates that could be given as reasons why ACDE=AOPQ are:

  • AAS
  • HA
  • ASA

<h3>What is this  congruence theorems about?</h3>

Note that in the diagram, there has been given one side that is congruent to its other corresponding side and as such, it has remove the option or postulates that needs the HL and SAS sides.

Conclusively, when all three angles are said to be congruent and when they have one side (known as the hypotenuse), one can use the congruence theorems or postulates of  AAS, HA and ASA.

Learn more about congruence theorems from

brainly.com/question/10609346

#SPJ1

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Step-by-step explanation:

458/5/8

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Arada [10]

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d.20.00

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=23 represent the sample size

\alpha represent the confidence level  

s^2 =60 represent the sample variance obtained

\sigma^2_0 =66 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance is less than 66, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 66

Alternative hypothesis: \sigma^2

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

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Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 23-1=22. And since is a left tailed test the p value would be given by:

p_v =P(\chi^2

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Step-by-step explanation:

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