Tangent circles and external tangent line of two circles

Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.

Congruent Circles

3 congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?

Inscribed Figures

1) An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle. 2) A regular octagon is inscribed in a circle of radius 12cm. Find a) the side length and b) the distance from center of the circle to a side.

Pythagorean Theorem

There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the que ...continues

Tangent circles and external common tangent line of two circles

Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.

Parallel line and Angles - Formal Proof

Please see the attached file for the complete question.

From the following augmented matrix, first write the system of equations that represents the augmented matrix

From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.

Find the solutions to a system of linear equations using the method of augmented matrices. Question file contains four lengthy questions on matrices.

MTH212 Unit 3 – Individual Project A 1. To raise money, the local baseball teams decided to sell team logo hats (H) and T-shirts (T). The league director decided to hold a contest among the teams to see which team can raise the most money. The contest lasted for 3 weeks. Here are the results of the first 2 weeks. The numbers ...continues

MTH 212: Unit 4 Group Project - A

Can you help solve the attached file? 1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) A. By looking at the picture, do you th ...continues

Finding perimeter of triangle

Please see attached file.