Suppose the average yearly salary of an individual whose final degree is a master's is $48 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $117 thousand. Find the average yearly salary of an individual with each of these final degrees.

Prove that quadrilateral is a rhombus.

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

Will make ! for correct answer the dot plot below shows the number of toys 21 shops sold in an hour.is the median or the mean a better center for this data and why? a. median; because the data is not symmetric and there are outliersb. median; because the data is symmetric and there are no outliersc. mean; because the data is symmetric and there are no outliersd. mean; because the data is skewed and there are outliers