Oscar and kim have $22.00 each to spend at a book fair, where all students receive a 30%; discount. they both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. to check if he has enough to purchase the book, oscar takes 30% of $28.50 and subtracts that amount from the normal price. he takes 10% of the discounted selling price and adds it back to find the purchase amount. kim takes 70% of the normal purchase price and then computes 110% of the reduced price. is oscar correct? is kim correct? do they have enough money to purchase the book? explain your answer using complete sentences. be sure to show your calculations for determining the final cost of the book for each student. (10 points)

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

The table shows values for functions f(x) and g(x) . x f(x)=3x g(x)=2x+1 −2 19 −3 −1 13 −1 0 1 1 1 3 3 2 9 5 what is the solution to f(x)=g(x) ? select each correct answer.

Which of the following correctly justifies statement four of the two column proof? a. corresponding angles theorem b. transitive property of equality c. vertical angle theorem d. substitution property of equality