Quadrilateral JKLM was dilated according to the rule DO, One-half(x, y)(one-half x, one-half y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

On a coordinate plane, quadrilateral J prime K prime L prime M prime has points (0, negative 2), (3, 2), (6, negative 2), and (3, negative 6).

What are the coordinates of vertex J of the pre-image?

(0, -4)
(0, -1)
(0, 0)
(0, 4)

30 in the diagram line e and made parallel to each other and line p and q are transversal. use properties of special angles formed by parallel lines and their transversals to find the missing angle measures. m< 3=65 m< 15=120 m< 7= m< 4= m< 6= m< 1= m< 16= m< 18= m< 21= m< 10= m< 11= m< 12=

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?

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?