Layla is determining the area of the trapezoid. Her work is shown below. A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet. Step 1: Break the figure into rectangles and triangles. A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet. Step 2: Find the area of the rectangle: 8 times 10 = 80. Step 3: Find the area of the triangle: One-half times 6 times 8 = 24. Step 4: Add the areas together: 80 + 24 = 104 square feet.

The point a is at –2 and the point b is at 7. marissa would like to divide this line segment in a 4: 3 ratio, and she would like to use the formula x = (x2 – x1) + x1. what values should she substitute into the formula? a = a + b = x1 = x2 =

Delbert keeps track of total of the total number of points he earns on homework assignments, each of which is worth 60 points. at the end of the semester he has 810 points. write an equation for delbert’s average homework score a in terms of the number of assignments n.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.