For lines c, d and e, m_1= 90° and m L3=90°

For the given diagram and angle measures, use complete sentences to describe each pair of lines as parallel or
perpendicular. In your description, include the special angle relationship between angles 1 and 3.

a, lines d and e
b. lines d and c

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)

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?

Find the value of x. give reasons to justify your solutions! l, m ∈ kn