If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime? Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ. segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS

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?

Carl is hanging pictures in his home. there is a space on a wall that has a width of 4 feet. carl has pictures with different widths. which picture width would fit in the space on the wall? a. 46 inches b. 60 inches c. 50 inches d. 54 inches

Millie decided to purchase a $17,000 msrp vehicle at a 4% interest rate for 6 years. the dealership offered her a $2700 cash-back incentive, which she accepted. if she takes all these factors into consideration, what monthly payment amount can she expect? a.$223.73b.$243.25c.$274.61d.$2 35.51