18. a shelf holds fewer than 50 cans. if all of the
cans on this shelf were put into stacks of
five cans each, no cans would remain. if the
same cans were put into stacks of three cans
each, one can would remain. what is the
greatest number of cans that could be on
the shelf?

Which of the following expressions are equivalent ?

Factor this polynomial completely. x^2-8x+12

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc