The chance that it will be cloudy on a single day is simulated by rolling a standard number cube twice. How many times will the number cube need to be rolled to simulate a week? 14 times. It is rolled twice for each day and there are 7 days in a week, so 14 rolls are needed.

7 times. It is rolled once for each day of the week.

5 times. It is rolled once for each day Monday-Friday.

21 times. It is rolled three times for each day.

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