The base of a parallelogram is 8 units, and the height is 5 units. a segment divides the parallelogram into two identical trapezoids. the height of each trapezoid is 5 units. draw the parallelogram and the two trapezoids on the grid shown. then find the area of one of the trapezoids. *the grid is a normal grid*

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Solve by any method (graphing, substitution or linear combination)y = x - 82x + 3y = 1a) (2, -6)b) (5, -3)c) (4, -4)d) (0, -8)i figured it out. the answer is (5, -3)

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle