(02.07)The image shown has two triangles sharing a vertex: There are two triangles labeled UVW and WXZ with a common vertex W. In triangle UVW, angle VUW is labeled as y, and angle WVU is labeled as 50 degrees. In triangle WXZ, angle WXZ is labeled as 50 degrees.

What is the measure of ∠WZX, and why?

y over 2, because Triangle UVW is congruent to triangle WXZ
y, because Triangle UVW is similar to triangle ZXW
y + 50 degrees, because Triangle UVW is similar to triangle ZXW
130 degrees − y, because Triangle UVW is congruent to triangle WXZ
Help fast!!

Which of the following is not a subset of {1,2,3}?

Find the missing dimension extra points

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?