Reasons
1. given
2. unique line postulate
3. def. of alt. interior angles
Statements
1. ABCD is a parallelogram
2. draw AC
3. ZDCA and BAC
are alt. interior angles
4. BCA and DAC
are alt. interior angles
5. AC AC
6. AB || CD
4. def. of alt, interior angles
5. reflexive property
6. def. of parallelogram
ALE
Demo
Intro

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.

Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.