A 150 foot fence encloses a garden. One end is x feet while the other is 0.5x feet and the length of one side is 45 feet and the other is 2x feet. What is the length of the longest side of the garden?

How many square feet of out door carpet will we need for this hole? 8ft 3ft 12ft 4ft

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 of the following transformations will always produce a congruent figure?