91Ó°ÊÓ

The ruler postulate suggests that there are many ways to assign coordinates to a line. The Fahrenheit and Celsius temperature scales on a thermometer indicate two such ways of assigning coordinates. A Fahrenheit temperature of$\mathbf{32}\mathbf{°}$corresponds to a Celsius temperature of ${\mathbf{0}}^{\mathbf{∘}}$. The formula, or rule for converting a Fahrenheit temperature F into a Celsius temperature C is $\mathit{C}\mathbf{=}\frac{\mathbf{5}}{\mathbf{9}}\left(F−32\right)$.

a. What Celsius temperatures corresponds to Fahrenheit temperature of ${\mathbf{212}}^{\mathbf{∘}}\mathbf{,}\mathbf{98}{\mathbf{.6}}^{\mathbf{∘}}$?

b. Solve the equation above for F to obtain a rule for converting Celsius temperature to Fahrenheit temperatures.

c. What Fahrenheit temperatures correspond to Celsius temperatures of $\mathbf{−}{\mathbf{40}}^{\mathbf{∘}}\mathbf{,}{\mathbf{2000}}^{\mathbf{∘}}$?

Find the value of the variable.

$15-z=0$

Which is greater, the distance from R to S or the distance from T to U?

Classify the statement as true or false.

R, O, S, and W are coplanar.

For the following figure, name three angles that have B as the vertex.

Which is greater, the distance from R to S or the distance from T to U?

Classify each statement as true or false.

h is in S.

State another name for the angle.

$∠5$

Suppose Pat spoke a line l joining F and T while you thought of a line n joining F and T. Is it better to say that l and n are two different lines, or to say that we have one line with two different names?

Classify each statement as true or false.

Points J, K, L, and N are coplanar.