Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersec
tion of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b? B = 32 b = 52 b = 118 b = 128
2 answers:
Answer: Last option.
Step-by-step explanation:
Observe the figure attached.
In order to find the value of "b", you need to remember the definition of "Alternate interior angles". These are the pairs of angles located in the interior of the parallel lines and on opposite side of the transversal. They are congruent.
Based on this definition, you can conclude that the angle "b" and the angle that measures 128° are Alternate interior angles; therefore they are congruent.
This means that the value of "b" is:
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Answer:
Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:
Where x' is the sample mean, s is the population standard deviation, n is the sample size and is the z-score that let a proportion of
on the right tail.
is calculated as: 100%-99%=1%
So,
Finally, replacing the values of x' by 308, s by 17, n by 15 and by 2.576, we get that the confidence interval is: