Question 11 of 11 -
1 answer:
Answer:
AA similarity
Step-by-step explanation:
Your question is not well presented.
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>
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Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
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The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.
