Which must be true in order for the relationship △zyv ~ △xwv to be correct?

a. zy ∥ wx

b. ∠z ≅ ∠y and ∠w ≅ ∠x

c. zv ≅ vy and wv ≅ vx

d. ∠z ≅ ∠x and ∠w ≅ ∠y

Solve the problem. a student earned grades of c, a, b, and a in four different courses. those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. the grading system assigns quality points to letter grades as follows: a = 4, b = 3, c = 2, d = 1, and f = 0. compute the grade point average (gpa) and round the result to two decimal places. 3.40 3.50 8.75 2.18

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

The area of a circle is equal to 1 dm². find the radius of the circle.