Which is the correct use of the distributive property? 90 + 50 = 9 (10 + 5)
42 + 18 = 6 ( 7 +3 )
77 + 66 = 11 (10 + 8)

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

1. if sin t=.29 and ,sin w=.43 both t and w are positive, and the angles determined by t and w are in quadrant 2, then which of the following statements is true? a. t > w b. w > t c. cannot be determined 2. if cos t=-.42 and ,cos w=-.80 both t and w are positive, and the angles determined by t and w are in quadrant 3, then which of the following statements is true? a. t > w b. w > t c. cannot be determined

Easy trig - 15 points a . suppose the measure of one side of a triangle inscribed in a circle is 20 centimeters. if the measure of the angle in the triangle opposite this side is 30 degrees, what is the length of the diameter of the circle? b. suppose a circle with a diameter of 12.4 inches circumscribes a triangle with one side of the triangle measuring 4.6 inches. what is the measure of the angle in the triangle opposite this side?