On a coordinate grid, A is at (146, 220) and D is at (0, 0). Sketch a graph of ABCD, labeling the coordinates of all four vertices.
(Hint: Use the given side lengths to find the coordinates for B and C.)

AB is congruent to CD
BC is congruent to DA
BD should be able to be the longest diagonal

Sorry if this doesn't make sense, but this is how they worded it on AP3X
For the graph part, you can just go on Desmos or another website like it

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?