Drag and drop an answer to each box to correctly complete the proof. Given: Quadrilateral ABCD

is a rhombus.

Prove: AC⎯⎯⎯⎯⎯
bisects ∠DAB and ∠DCB

.

Rhombus A B C D with diagonal A C drawn.

Statement Reason
Quadrilateral ABCD
is a rhombus. Given
AB⎯⎯⎯⎯⎯≅BC⎯⎯⎯⎯⎯≅CD⎯⎯⎯⎯⎯⎯≅DA⎯⎯⎯⎯⎯

AC⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯

△ABC≅△ADC
SSS Congruence Postulate
∠BAC≅∠DAC
∠BCA≅∠DCA

AC⎯⎯⎯⎯⎯
bisects ∠DAB and ∠DCB
. Definition of bisector

Sasha drank 8 bottles of water everyday for a week. how many bottles of water did she drink in total?

Me n o w. i need t h i s. 10 points

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