Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below: The art shows two figures. The figure on the left shows two rays BA and BC having a common end point B. An arc drawn from B cuts the ray BA at H and the ray BC at I. The figure on the right shows two rays ED and EF having a common end point E. An arc drawn from E cuts the ray ED at J and the ray EF at K. Another arc drawn from K cuts the ray ED at J.

Which statement best explains why Ben uses the width HI to create the arc at J from point K? (5 points)

∠DEF ≅ ∠ABC when EJ is constructed equal to HI.
∠DEF ≅ ∠ABC when JK is constructed equal to HI.
Angle HIB is equal to angle JEK when ∠DEF ≅ ∠ABC.
Angle BHI is equal to angle JKE when ∠DEF ≅ ∠ABC.

(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.