Consider the two triangles shown. Which of the triangle congruence theorems could be used to prove the triangles congruent witho
ut establishing any additional information?
A. ASA
B. SAS
C. AAS
A. ASA
B. SAS
C. AAS
1 answer:
Answer: AAS
Step-by-step explanation:
In the given triangles, there are two angles such as and
and one non included side as 16 cm of both triangles are equal or congruent.
Thus, by AAS postulate of congruence both the triangles are congruent without establishing any additional information.
- <em>The AAS postulate says that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.</em>
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Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is and the standard deviation is
In this problem, we have that:
.
So
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.