Answer BOTH parts of the question by drawing on the following coordinate plane. Draw the image of ∆PQR after a rotation of 180 degrees about the origin. Label the image ∆P'Q'R'.

Draw the image of ∆PQR after a reflection across the x-axis. Label the image ∆P''Q''R''.
SHOW ALL WORK

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. what is the probability that the applicant who gets the job plays drums or guitar?

Charlie tosses five coins.what is the probability that all five coins will land tails up.