triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R If ∠P is given as well as the values of p, q, and r, then explain whether the Law of Sines or the Law of Cosines should be used to solve for ∠Q.

A. Law of Cosines, two sides, and the opposite angle are known

B. Law of Cosines, all sides are known

C. Law of Sines, two angles and an opposite side are known

D. Law of Sines, two sides and an included angle are known

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

The distance between two cities is 368 miles. if the scale on the map is 1/4 inch=23 miles, what is the distance between the cities on the map?

The lengths of all sides of a triangle are integers when measured in decimeters. one of the sides has length of 1 dm and another of 3 dm. find the perimeter of the triangle.'