Draw examples of museums with only right-angled corners having 12 sides, 16 sides, and 20 sides that require three, four, and five guards, respectively. Show the placement of the guards.

It is possible for a parallelogram to also be a square. O True O False

1) Amy is making bows for a craft project. Each bow requires a strip of ribbon in the shape of a parallelogram. In order to be sure all of the bows will be the same size, Amy created a pattern for cutting the ribbon as show below. B A D Select all that apply: A. ZA = LC B. ZA = ZD C. ZA + ZC = 180 D. ZA + ZD = 180 Е. ВС AD

Darnell and Jake are playing a game they made up which includes throwing darts at this target. The point values for each region of the target are shown. The radius of the 50-point region is 3 inches. The width of each of the other regions is 4 inches. 5 concentric circles where each circle contains values from 10, 20, 30, 40 and 50. Darnell and Jake are currently tied in their game, and Jake has to choose one of these options: Option 1: He can accept the tie, and the game is over. Option 2: He can make one more throw. Jake wins if he earns at least 30 points on the throw, but he loses if he earns less than 30 points. Complete each part of this task to determine which option Jake should choose. Part A Describe the process you could use to find the probability that Jake will earn at least 30 points on a throw, given that he hits the target? Note: Assume that it is equally likely that he will hit any region in the target.

11. Determine if the statement is true or false. "A kite is a parallelogram" %3D %3D %3D %3D

18. In ORSTU, RS is 3 centimeters shorter than ST. The perimeter of ORSTU is 42 centimeters. Find RS and ST. 12

LOUV is a rectangle. If m ∠ ∠LUO= 2 w + 3 2w+3 and m ∠ ∠VLU= 3 w − 1 3w−1 , find m ∠ ∠LUV.

Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E. Name two pairs of similar triangles.

You are designing an amusement park ride with cars that will spin in a circle around a center axis, and the cars are located at the vertices of a regular polygon. The sun of the measures of the angles vertices is 6120 degrees. If each car holds a maximum of 4 people, what is the maximum number of people who can be on the ride at one time