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Answer:
AA similarity
Step-by-step explanation:
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See attachment
Given
Triangles ABC and DBE
Required
Which postulate supports the similarities of ABC and DBE
At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e <em>Side-Side-Side</em> and <em>Angle-Angle-Angle</em>
This is so because rotations do not alter the side lengths; neither does it alter the angles.
When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.
However, angle measurements remain unaltered.
<em>Hence, AAA similarity answers the question</em>
<h2>Answer with explanation:</h2>
Let p be the proportion of of all adults in the town that have been exposed to this strain of the flue .
As per given , we have
∵ is two-tailed , so the test is a two-tailed test.
Test statistic :
, where p= population proportion
= sample proportion
n= sample size
Put n= 6 and and p=0.08
P-value for two-tailed test : 2P(Z>|z|)
=2P(Z>|-0.415|)
=2P(Z>0.415)
=2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]
=2(1-0.6609) [ by z-table]
=0.6782
Decision : Since the p-value(0.6782) is > significance level(0.01) , so we fail to reject the null hypothesis.
We conclude that that we do not have sufficient evidence to support the claim that the proportion of all adults in the town that have been exposed to this strain of the flue differs from the nationwide percentage of 8%.