In this unit, you studied a handful of circle theorems. However, there are other circle theorems not covered in this unit or course. Do some research online or in textbooks to uncover a circle theorem (or more than one) that wasn’t presented in this unit. Describe it in detail. Then write either a two-column proof or a paragraph proof for the theorem. Does the theorem that you proved relate to theorems that you previously studied? If so, how? Were you able to apply some theorems that you proved earlier to your newfound theorem? Explain. How might your theorem be used in a real-world application?

Question b of 10which of the following describe an angle with a vertex at a? check all that applyo a. labcов. савd dooo c_baco d. zacb

Through non-collinear points there is exactly one plane.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24