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1 answer:
<h2>Answer:</h2><h2>If a respondent from the survey is selected at random, compute the probability that the respondent has a Master's degree. = 
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Step-by-step explanation:
The number of people in the survey = 850
No of people with no High School Diploma = 52
No of people with High School Diploma = 234
No of people with with associate's Degree or Two Years of College = 274
No of people with Bachelor's Degree = 187
No of people with Master's Degree = 67
No of people with Ph.D. or Professional Degree = 36
If a respondent from the survey is selected at random, compute the probability that the respondent has a Master's degree. =
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Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.
