12. Quadrilateral ABCD has vertices at A(8, 7), B(10, 2) , C(5, 4 )  and D(7,1) .
(a) Find the slope and length of sides AB and CD . Show your
work below.

(b) What type of special quadrilateral do your calculations in part
(a) tell you ABCD is? Explain.

(c) Prove, using coordinate geometry, that ABCD is a rectangle.

In parallelogram abcd the ratio of ab to bcis 5: 3. if the perimeter of abcd is 32 find ab

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

1- 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.2- 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 the first question?