What is two events that DO NOT affect each other but occur at the same time

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

15 point ! ~ see if you know the answer to both you!

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.