Identity each pair of angles as complementary, supplementary, or neither.
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When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.
If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.
Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so .
Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so .
Subtract from the first equation the second equation:.
Similarly you can prove that .
Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : , which is a large sample , so we apply z-test .
Sample mean :
Standard deviation :
Significance level :
Critical value :
Now, a confidence interval at the 95% level of confidence will be :-