4. Angle B has been bisected because congruent triangles have been created. Complete the congruence statement. Make sure to provide a triangle congruence postulate or theorem
(SSS, SAS, ASA, AAS, or HL) to justify the triangles being congruent. "Hint" one side of each
triangle is not actually drawn on the image. (3 points)
5. Now that the triangles have been established as congruent, complete the congruence
statement below. Make sure to provide a reason why the statement is true. "Hint" use the
acronym rather than the full statement. (3 points)

Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅? a. sin (α -β) = sin α cos β – cos α sin β b. cos (α -β) = cos α cos β – sin α sin β c. cos (α -β) = cos α cos β + sin α sin β d. sin (α + β) = sin α cos β + cos α sin β

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

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?