Gments 4 intersecting lines are shown. Line m contains points E and C. Line n intersects line m at point E and also contains point A. A line comes out of point A and contains points C and D. A line comes out of point C and contains point B.

Which statements are true regarding the diagram? Check all that apply.

CB is contained on line n.
Ray C E is contained on line m.
Ray BC is the same as ray CB.
Ray AD is the same as ray AC.
∠EAD is created from Ray A E and Ray D A.
∠ECB is created from Ray C E and Ray C B.

Which of the following are accepted without proof in a logical system? check all that apply.

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

Prove the following(cot0+cosec0)[tex](cot0 + cosec0) { }^{2} = \frac{1 + cos0}{1 - cos0} [/tex]