Consider the figure below. Given: 411
24 213
11 12
Prove: LIL
56
7 8
13 14
15 16
Complete the following chart
Statements
Reasons
1.4 1/2 and 24 & 213
1. Given
2.24 and 26 are supplementary
2. Consecutive Interior Angle
Theorem
3.m24+ m26 = 180
3. Definition of Supplementary
4.m.24 m213
4. Definition of congruent angles
5.m.26 + 213 = 180
5. Substitution Property
6.26 and 213 are
supplementary
7. I th
6. Definition of Supplementary
7
Which of the following is the reason for statement #7 in the table
above?

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