Drawing Venn Diagrams

Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball, 3 boys plays baseball and tennis, 1 girl plays baseball and tennis, 1 boy plays all three sports, 1 girl plays all three sports, 9 students play tennis, 3 boys play soccer ...continues

How many of the 500 students are enrolled in all three classes?

500 students enrolled in at least 2 of 3 classes: English, Math, History. 150 students enrolled in both history and English, 300 enrolled in math & history, 170 enrolled in both math and English. How many of the 500 students are enrolled in all three classes?

Euclidean Geometry Construction : Given a line l and a point P not on l, I contructed a line that contains P and meets l at a 45 degree angle using a compass....

Given a line l and a point P not on l, I contructed a line that contains P and meets l at a 45 degree angle using a compass. Now I need to construct a line that contains P and meets l at 30 angle and prove it. I attached what I have so far.

Volume of tetrahedron formed by vertex and three vertices

In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?

Area of region traced by smaller sphere rolling on another sphere

A sphere of radius 1 is covered in ink and rolled around between concentric spheres of radii 3 and 5. If this process traces a region of area 1 on the larger sphere, what is the area of the region traced on the smaller sphere?

Geometry Applications Word Problems

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of ...continues

Pythagorean Theorem

(See attached file for full problem description with diagrams) --- 1. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including bas ...continues

Construction and proof involving line segments.

Given a line segment QR=1 1. Given segments qand r, constuct a line segment qr. 2. Given segments q,r,s construct a line segment qrs. I'm confused on how to set it up and begin. I have the one for constructing a line segment of length q/r. Thanks

Proof involving circle

Here is the question to prove: Given a circle with radius Q, and a point on the circle R and considering a circle with diameter QR. Let a line go through R and intersect the smaller circle at S and the larger circle at T. Construct a diagram and prove that RS=ST.

Construction and Geometry Proofs

1. I need to see a construction and proof. Given a quadrilateral EFGH so that all four sides are congruent to a circle. Prove that EF+GH=EH+FG 2. Prove that a perpendicular bisector of a chord in a circle is a diameter.