Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin. If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units

What is the first step of an indirect proof of a number that is divisible by two

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.

*segment an is an altitude of right ? abc with a right angle at a. if ab = 2root 5 in and nc = 1 in, find bn, an, ac.