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Sati [7]
3 years ago
13

Identify the postulate or theorem that proves the triangles congruent.

Mathematics
1 answer:
monitta3 years ago
4 0

Answer:

ASA

Step-by-step explanation:

Angle (marked on the triangles)

Side(marked on the triangles)

Angle(Vertical angles are congruent)

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Measurement of one angle and length of one side I think
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Monday: 10 apples and 5 bananas
goldfiish [28.3K]

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

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3 years ago
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
guajiro [1.7K]

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

4 0
2 years ago
Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into
guajiro [1.7K]

Answer:

Its C on edge 2020

Step-by-step explanation:

I took the test

7 0
3 years ago
Read 2 more answers
Write the point-slope form of the equation for a line that passes through (6,-1) with a slope of 2​
Vika [28.1K]

Answer: y + 1 = 2(x-6)

Step-by-step explanation:

Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)

Hope this was helpful! Please feel free to ask me any questions!

3 0
3 years ago
Read 2 more answers
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