A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32
centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.5 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
cm.
The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is
(Round to the nearest tenth as needed.)

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4? 1 –1 i –i

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

Corresponding angles are a. always b. sometimes c. never congruent