Prove that if opposite angles are supplementary, then the quadrilateral can be inscribed in a circle.

Prove that if opposite angles are supplementary, then the quadrilateral can be inscribed in a circle.

Proof involving equilateral triangle

I need to see a construction and proof. Let (triangle DEF) be equilateral triangle and Q is a point inside. Prove that the sum of the three distances from Q to each side is equal to the altitude DD'.

Collineations and Translations

What are the fixed points of a translation T? A fixed point is a point that is not moved by a given collineation, i.e. P = TP

Plucker Coordinates

1. Let d = (1, 2, -2), m = (-8, 5, 1) (a) Check that d and m are orthogonal. I already check that it is orthogonal. DO NOT ANSWER THIS PART. (b) Find a vector v such that d x v = m. In other words, find an affine point on the line with Plucker coordinates (1, 2, -2, -8, 5, 1). 2. Describe a general way ...continues

Estimating errors in measuring volume of small balls in large container

Consider an experimental procedure to measure the average volume of M&M Peanut candies. One hundred piece of the candy are poured into a graduated cylinder with a 30 diameter. The cylinder is then filled with 1 mm diameter beads and shaken so that the beads and candies pack as tightly as possible. Finally, the candies are remove ...continues

Geometry and Algebra Review Questions

Please see the attached file for the fully formatted problems.

Refer to circle A at right, which has radius 12.

Refer to circle A at right, which has radius 12. 1. Find the circumference Full problem in attached file.

Order and neighbors

For an integer n, define the graph Tn as follows: Vertices are 2-element subsets of {1,2,...,n}. Two vertices are adjacent if they have one element in common. (a) What are the order and the size of this graph? (b) How many neighbors does each vertex have? (c) Draw T5.

Fractions Word Problems

What is the diameter of a circle with a radius of 23 3/5? YES, this is a fraction problem and please break it down. THANKS

I need to know the length of the second circumference.

I have a circle with a circumference of 160' with an additonal circumference 12' outside of that. I need to know the length of the second circumference. Does that make sense?