In the figures △cda ≅ △xyz
·a .z

c· ·d x. y

name the congruent angles.
a. ∠c ≅ ∠y,∠d ≅ ∠x,∠a ≅ ∠z
b. ∠c ≅ ∠d,∠a ≅ ∠x,∠y ≅ ∠z
c. ∠c ≅ ∠x,∠d ≅ ∠y,∠a ≅ ∠z
d. ∠c ≅ ∠z,∠d ≅ ∠y,∠a ≅ ∠x

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?