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liberstina [14]
3 years ago
10

Given ∆ABC≅∆DEF, m∠A=5x+12 and m∠D=8x, find m∠A and m∠D.

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Given :

Two triangle ∆ABC and ∆DEF are congruent.

m∠A=5x+12 and m∠D=8x.

To Find :

m∠A and m∠D.

Solution :

Since, both the triangle are congruent.

m∠A = m∠D

5x + 12 = 8x

3x = 12

x = 4

m∠A = 5(4) + 12 = 32°

m∠D = 8(4) = 32°

Therefore, value of m∠A and m∠D is 32°.

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Step-by-step explanation:

Data given and notation

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\hat p=0.36 estimated proportion with the survey

p_o=0.41 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:  

Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

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