Given: ad ? bc and ad ? bc prove: abcd is a parallelogram. statements reasons 1. ad ? bc; ad ? bc 1. given 2. ? cad and ? acb are alternate interior ? s 2. definition of alternate interior angles 3. ? cad ? ? acb 3. alternate interior angles are congruent 4. ac ? ac 4. reflexive property 5. ? cad ? ? acb 5. sas congruency theorem 6. ab ? cd 6. ? 7. abcd is a parallelogram 7. parallelogram side theorem what is the missing reason in step 6? sss congruency theorem cpctc definition of a parallelogram opposite sides in a parallelogram are congruent

What are the coordinates of the midpoint of ab? ,1/2) /2,-1) ,-3/2) /2,-2)

Need ! the total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)