The arcadia theater charges $4 for adult tickets and $3 for student tickets. mr. steele purchased 9 tickets (some student and some adult) for $31. write a system of equations that could be used to find a, the number of adult tickets, and s, the number of student tickets mr. steele purchased. you do not have to solve the system of equations.

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons

70 points ! pls 2. given the following two sets of data what is the union of the two sets and what is the intersection of the two sets. set a = {1, 2, 3, 4, 5, 6, 7, 8, 9} set b = {2, 4, 6, 8, 10, 12, 14} 3. given a regular deck of cards. describe a way of pulling cards that would create a dependent event and then one that would create an independent event. 4. what is the probability of drawing a red card and then drawing a spade without replacing the card that was drawn first?