A rectangle is shown. A line is drawn from a corner to the opposite corner to form 2 triangles. The area of a rectangle in 24 square units. A diagonal drawn from one corner to another divides the rectangle into two right triangles. What is the area of the shaded triangle? 2 times 24 square units 1 times 24 square units One-half times 24 square units One-fourth times 24 square units

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.