Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality 3 + t less-than 5.5 represents the situation. Which number line shows how much longer Allen can run and still meet his goal?
A number line going from 0 to 3. An open circle is at 2.5. Everything to the left of the circle is shaded.
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2.5. Everything to the right of the circle is shaded.
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the right of the circle is shaded.

Which of the following transformations will always produce a congruent figure?

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

A11 gram sample of a substance that’s used to treat thyroid disorders has a k-value of 0.1247