Rectangle LMNO is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle L'M'N'O'. If a line segment is drawn from point L to point L' and from point O to point O', which statement would best describe the relationship between segment L L prime and segment O O prime?

They share the same midpoints.
They are diameters of concentric circles.
They are perpendicular to each other.
They are parallel and congruent.

Explain why the two figures below are not similar. use complete sentences and provide evidence to support your explanation. (10 points) figure abcdef is shown. a is at negative 4, negative 2. b is at negative 3, 0. c is at negative 4, 2. d is at negative 1, 2. e

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?

Val and tony get paid per project. val is paid a project fee of $44 plus $12 per hour. tony is paid a project fee of $35 plus $15 per hour. write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.