Circle P is shown. Tangents X Y and Z Y intersect at point Y outside of the circle to form an angle with measure 72 degrees. The first arc formed has a measure of x degrees, and the second arc has a measure of (360 minus x) degrees. In the diagram of circle P, m∠XYZ is 72°. What is the value of x? 108° 144° 216° 252°

What is the pattern in the values as the exponents increase?

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Amovie streaming service charges it’s customers $15 a month. martina has $98 saved up. will she have any money left over if she pays for the maximum amount of months she can afford? explain.