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Irina-Kira [14]
2 years ago
10

Attached geometry question. Please help. 100 points, will mark branliest.

Mathematics
1 answer:
-BARSIC- [3]2 years ago
6 0

\large{\rm{\underline{\underline{Answer:}}}}

Since ∆AFB is similar to ∆ABC.

  • < F = < B (corresponding angle)
  • < G = < C (corresponding angle)
  • < A = common.

<u>In </u><u>∆</u><u>A</u><u>BC,</u>

⇛< A + < B + < C = 180°

⇛37° + 65° + < C = 180°

⇛102° + < C = 180°

⇛< C = 78°

We know that, < AGF / < G = < C

So, Measure of angle < AGF = <u>7</u><u>8</u><u>°</u><u> </u><u>(</u><u>ans)</u>

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What is X? x divided by 4/9 = 9/10
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Answer:

2/5

Step-by-step explanation:

\frac{x}{\frac{4}{9} } =\frac{9}{10}

(\frac{9}{10})(\frac{4}{9} )=\frac{36}{90}

36 divided by 90 is 2/5.

When solving for X you do the opposite to a number if you are moving it to the other side of the problem. so, since x is being divided by 4/9, 4/9 would be multiplied to the opposite or to the 9/10.

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A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this i
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Answer:

z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615  

The p value for this case would be:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

\hat p=\frac{36}{100}=0.36 estimated proportion of people who take R supplement

p_o=0.39 is the value that we want to test

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:  

Null hypothesis:p=0.39  

Alternative hypothesis:p \neq 0.39  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615  

The p value for this case would be:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

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