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34. The Ruler Postulate suggests that there are many ways to assign coordinates to a line. The Fahrenheit and Celsius scales indicate two such ways of assigning coordinates. A Fahrenheit temperature of [tex]$32^{\circ}$[/tex] corresponds to a Celsius temperature. The formula for converting a Fahrenheit temperature [tex]$F$[/tex] into a Celsius temperature [tex]$C$[/tex] is:

[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]



Answer :

To convert a Fahrenheit temperature to a Celsius temperature, you can use the following formula:

[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]

Let's go through the steps to convert a Fahrenheit temperature of [tex]\( 32^{\circ} \)[/tex] to Celsius.

1. Identify the Fahrenheit temperature to convert:
[tex]\[ F = 32^{\circ} \][/tex]

2. Substitute [tex]\( F \)[/tex] with 32 in the conversion formula:
[tex]\[ C = \frac{5}{9} (32 - 32) \][/tex]

3. Simplify the equation within the parenthesis:
[tex]\[ 32 - 32 = 0 \][/tex]

4. Insert the result back into the formula:
[tex]\[ C = \frac{5}{9} \times 0 \][/tex]

5. Multiply:
[tex]\[ \frac{5}{9} \times 0 = 0 \][/tex]

So, the Celsius temperature corresponding to [tex]\( 32^{\circ} \)[/tex] Fahrenheit is [tex]\( 0^{\circ} \)[/tex].