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------------------------------------------------ The following formula gives the temperature's measure in degrees Fahrenheit [tex]F[/tex], where [tex]C[/tex] is the measure in degrees Celsius:

[tex]F = \frac{9}{5} C + 32[/tex]

Rearrange the formula to highlight the measure in degrees Celsius.

[tex]C = \square[/tex]

Answer :

To rearrange the formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] to solve for [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex], you'll want to follow these steps:

1. Start with the Original Formula:
The formula given is:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]

2. Isolate the Term with [tex]\( C \)[/tex]:
To isolate the [tex]\( \frac{9}{5}C \)[/tex] term, subtract 32 from both sides of the equation:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]

3. Solve for [tex]\( C \)[/tex]:
To get [tex]\( C \)[/tex] by itself, you need to undo the multiplication by [tex]\( \frac{9}{5} \)[/tex]. You can do this by multiplying both sides of the equation by the reciprocal of [tex]\( \frac{9}{5} \)[/tex], which is [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]

Now, the formula is rearranged to highlight [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]

This is the temperature conversion formula that you can use to find degrees Celsius given degrees Fahrenheit.