Please help I need the side length

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

There are 45 questions on your math exam. you answered 810 of them correctly. how many questions did you answer correctly?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.