Noah solved an equation as shown below and found that the equation has infinitely many solutions.–3(x+4)+2x=2(x – 6)– 3x–3x– 12+2x= 2x– 12– 3x–x – 12= –x – 12which explains whether noah is correct? a. noah is correct because the two sides of the equation are equivalent expressions. b. noah is correct because if he continues the solution, the final solution will be x = –2c) noah is not correct because the equivalent expressions mean that there is no solution. d. noah is not correct because he used the distributive property incorrectly.

Football player weighed 170 2/3 pounds in may. during the summer he gained 25 5/12 pounds. during the first week of fall practice he lost 10 1/4 pounds and during the second week he lost another 3 1/2 ponds. how much does he weigh at this point? a.182 1/3ib b.181 1/2ib c.182 5/12ib d.183 2/3ib

State if the two triangles are congruent. if they are, state how you know?

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