Cumulative Exam — Cumulative exam Answers

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse?

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

In circle O, AC and BD are diameters.

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21.