You are playing a card game where the total points you earn depends on the suits of the cards you draw. The total number of points is given by the expression

3a + 3b-2c-2d, where a represents the number of hearts, b is diamonds, c is

clubs, and d is spades. What is the total number of points you earn if you draw 3

hearts, 2 diamonds and 1 spade?*

The sum of two numbers is 86, and their difference is 20. find the two numbers

What is the maximum of the sinusoidal function

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