The rule (x, y)→(2x,2y) maps △def to △d′e′f′. which statement correctly describes the relationship between △def and △d′e′f′ ? the triangles are not congruent because △d′e′f′ is a dilation of △def , and a dilation is not a rigid motion. the triangles are congruent because △d′e′f′ is a rotation of △def , and a rotation is a rigid motion. the triangles are congruent because △d′e′f′ is a reflection of △def , and a reflection is a rigid motion. the triangles are not congruent because △d′e′f′ is a translation of △def , and a translation is not a rigid motion.

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in: