Consider the diagram shown and answer the following questions; the radius of this circle is 6 inches:
1) if angle sut is 39 degrees, what does that tell us about angle tuv? what arc measure describes arc vts? how can we make any assertions about these angle and arc measures?
2) which line segments' length can be calculated based on knowing the radius length? explain .
3) if angle mop is 49 degrees, which other angle measures can we calculate? what arc measures can we calculate? describe which lesson concepts allow us to make these calculations

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation.

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?

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.