Mary, Bob and Dylan contributed money to the Renaissance fund in the ratio of 3:5:8. If they contributed $464, how much did each person contribute to the fund?

Mary = 87

              Bob   = 145

              Dylan = 232

Step-by-step explanation:

Find the value of one part, then multiply it times the number of parts in each ratio.

Step 1: Add the ratios to find the total parts.

3:5:8 = 3 + 5 + 8 = 16

Step 2: Divide the total by the number of parts.

464/16 = 29 (value of one part)

Step 3: Multiply the value of one part times the number of parts in each ratio.

29 * 3 = 87

29 * 5 = 145

29 * 8 = 232

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: