According to the given information, segment uv is parallel to segment wz while angles squ and vqt are vertical angles. by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angles postulate. finally, angle vqt is congruent to angle wrs by the transitive property of equality.

which phrase accurately completes the proof?

∠squ ≅ ∠vqt

∠squ ≅ ∠wrs

∠wrs ≅ ∠vqt

∠wrs ≅ ∠zrt

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0