∠BCA ≅ ∠DAC and ∠BAC ≅ ∠DCA by: the vertical angle theorem. the alternate interior angles theorem. the reflexive property. None of these choices are correct.

(B)the alternate interior angles theorem.

Step-by-step explanation:

The diagram for the question is attached below:

In the diagram:

BC is parallel to AD; and

AB is parallel to DC.

Effectively, the shape is a parallelogram.

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.

Therefore:

∠BCA ≅ ∠DAC and ∠BAC ≅ ∠DCA by the alternate interior angles theorem.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

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step-by-step explanation: