Lyle graphs triangle ABC on coordinate axes. He performs two transformations on this figure that result in the congruent triangle XYZ. Which series of transformations did Lyle most likely use? a translation left and then a dilation with a scale factor of 3

a dilation with a scale factor of 2.5 and then a rotation 180˚ counterclockwise

a rotation 90˚ clockwise and then a reflection across the y-axis

a reflection across the x-axis and then a dilation with a scale factor of 0.25

Select all the correct answers.natalie buys a new car. in the first month, the odometer on the car records 800 miles. from past experience, she expects to drive 900 miles per monthselect all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.of(n) = 800n + 100f(n) = 9001 - 100f(n) = 900n + 800(1) = 800; }(n) = f(n - 1) + 900, for n > 2f(1) = 800; 1(n) = f(n − 1) + 100, for n > 2(1) = 900; }(n) = f(n - 1) + 800, for n > 2

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

18 16 11 45 33 11 33 14 18 11 what is the mode for this data set