Exercise 1: Let DABC square at A, D lies between B and C. Draw the points E, F such that AB, AC are the perpendicular bisectors of DE, DF, respectively. a) Prove that E, A, F are collinear.
Hint: Use the angle addition method.
Prove Â1 + Â2 + Â3 + Â4 = 180degrees
b) Prove DE ^ DF
c) Prove BE // CF help me please

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?

If a sprinkler waters 1 over 12 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn? (5 points) 10 hours 6 hours 1 over 6 hour 7 over 12 hour

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