Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)

............(2)
...........(3)

...........(4)
Now we adding equation 2 and 4, we get the value of x.



Now we are putting the value of x in 4, we get the value of y.




Therefore, the value of x and y is 8 and 10 respectively.
Answer:
The confidence interval becomes wider.
Step-by-step explanation:
The general form of a confidence interval is:

The critical value is based on the confidence level.
The confidence level is the probability that the true parameter value falls within a specific interval. The basic and most used confidence levels are 90%, 95% and 99%.
The confidence interval is directly proportional to the confidence interval.
Confidence Interval ∝ Confidence Level
On increasing the confidence level the confidence level widens. And on decreasing the confidence level the confidence level gets narrower.
Thus, when Gina changes the confidence interval to 99% the confidence interval becomes wider.
Answer:
15.5
Step-by-step explanation:
So the formula here is the square of the tangent length is equal to the product of the exterior part of the secant line and total length of the secant.
So that means we have x^2=10(14+10).
After simplifying the right hand side we have the equation is x^2=10(24) or x^2=240.
To get rid of the square on the x, we square root both sides.
x=sqrt(240)
x=15.49193338
To the nearest tenths, the answer is x=15.5
So 15.5 inches is the length of x.