He front face of a laundry basket is in the shape of a trapezoid as shown. A trapezoid has a base of 24 inches, height of 12 inches, and top side length of 20 inches. What is the area of the front face of the laundry basket?

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

(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.

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. which method should jeremy use?