Justin and Amy are trying to prove the Triangle Angle Sum Theorem. Justin draws a triangle on a piece of paper, tears off the corners, and arranges them to form a line. Amy constructs a line through one vertex that is parallel to the opposite side and uses the Alternate Interior Angles Theorem to show that the interior angles add up to 180°. Who proved the theorem? Explain. (1 point) A Only Amy proved the theorem because she used postulates and theorems to construct a logical argument to show that the interior angles in a triangle add up to 180°.
B Only Justin proved the theorem because he demonstrated that the angles formed a line.
C Both Amy and Justin proved the theorem. Amy used postulates and theorems, while Justin used a demonstration.
D Neither Amy nor Justin proved the theorem.

The upcoming championship high school football game is a big deal in your little town. the problem is, it is being played in the next biggest town, which is two hours away! to get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. you determine that if more than three students share a ride, on average, you will create the app. you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. the following data are collected: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5 construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results. part a: state the parameter and check the conditions. part b: construct the confidence interval. be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. part c: interpret the meaning of the confidence interval. part d: use your findings to explain whether you should develop the ride-share app for the football game.