Elena's backyard is in the shape of a rectangle. She created a triangular-shaped flower bed (shown as the shaded region) to plant flowers in 20 feet 10 leet 25 feet 35 feet The area of the triangular flower bed is 1 square feet. square feet. The area of her backyard that does not include the flower bed is blank square feet

In the proof of the triangle angle sum theorem, you must draw an auxiliary line. which construction must you use to draw this line?

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

Simplify. 3(4+4x) (type your answer in with no spaces)