Debra has to decide on paint colors for her house . there is a 90% chance she will chose gray for the living room . there is a 70% chance she will chose blue for her bedroom and there is a 75% chance she will choose yellow for the kitchen . there is a 62% chance she has both gray and yello in her house and a 73% chance she has both blue and yellow in her house . what is the probability she chooses gray for three living room given that her kitchen is yellow

Are the corresponding angles congruent? explain why or why not.

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

The value of cos 30° is the same as which of the following?