Samantha measured two of the angles in Triangle P Q R and found that they had measures of 65° and 70°. Then, she measured two of the angles in Triangle X Y Z and found that they had measures of 65° and 45°. What statement best describes the two triangles? The two triangles cannot be congruent because the angle measures are not the same. The two triangles are congruent because the angle measures in the two triangles are the same. The two triangles may be congruent, but additional information is needed about the third angle in each triangle. The two triangles may be congruent, but additional information is needed about the sides of each triangle.

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.

On which number line are -3 and its opposite shown