What is the missing reason in the proof? Given: ZABC is a right angle, ZDBC is a straight angle
Prove: ZABC < ZABD

C. definition of congruent angles.

Step-by-step explanation:

Initially,m<ABC has already been stated to be 90° based in the definition of a right angle.

Also, m<ABD was then proven to also 90°.

Therefore, the most appropriate reason to give why m<ABC ≅ m<ABD is "definition of congruent angles."

Congruent angles have the same angle measure.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).