Is it possible for an angle in a triangle to be opposite both the longest side of the triangle and the shortest side of the triangle? Explain. Yes, if the triangle is equilateral, then all the sides lengths are the same.

No, it is not possible because all three sides must be different lengths.

Yes, if the triangle is a right triangle, then all of the side lengths are the same.

Yes, if the triangle is isosceles, then the base angles are across from the two congruent sides.

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(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.