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

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

X+ y = 5 ; x - y =3 solve using linear combination

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?