Pls help with this it’s 3:44 AM for me and I still didn’t finish My math work ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best!

If qrs tuv, which congruences are true by cpctc? check all that apply. a. q u b. rs tu c. qs tv d. qr tu e. s v f. r u

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?

Which property was used to simplify the expression? 3c+9 +4c=3c+4c+9