2. Triangle XYZ is dilated with the origin as the center of dilation using the rule
(x, y) → (0.5x, 0.5y) to create Triangle X'Y'Z'. Which
statement is true?
A. Triangle A'B'C' is larger than Triangle ABC,
because the scale factor is greater than 1
B. Triangle A'B'C' is smaller than Triangle ABC,
because the scale factor is less than 1
C. Triangle A'B'C' is smaller than Triangle ABC,
because the scale factor is greater than 1
D. Triangle A'B'C' is larger than Triangle ABC,
because the scale factor is smaller than 1

1234567891011 match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m 1. j||k, m∠3 = m∠1 if lines are ||, then corresponding angles are =. 2. m∠1 = m∠2 if alternate interior angles are =, then lines are ||. 3. m∠2 = m∠3 substitution 4. l||m given

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?

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?