the vertices of δmno are m (1, 3), n (4, 9), and o (7, 3). the vertices of δpqr are p (3, 0), q (4, 2), and r (5, 0). which conclusion is true about the triangles?
the ratio of their corresponding sides is 1: 2.
the ratio of their corresponding angles is 1: 2.
they are similar by the definition of similarity in terms of a dilation.
they are congruent by the definition of congruence in terms of rigid motions.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?