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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.

Answer :

To rearrange the formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] to highlight the measure in degrees Celsius ([tex]\( C \)[/tex]), follow these steps:

1. Subtract 32 from both sides: You want to isolate the term with [tex]\( C \)[/tex], so start by getting rid of the "+32" on the right side. This can be done by subtracting 32 from both sides of the equation:

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

2. Multiply both sides by [tex]\(\frac{5}{9}\)[/tex]: Next, you need to solve for [tex]\( C \)[/tex]. The term [tex]\(\frac{9}{5}C\)[/tex] means that [tex]\( C \)[/tex] is being multiplied by [tex]\(\frac{9}{5}\)[/tex]. To isolate [tex]\( C \)[/tex], do the opposite operation, which is multiplying both sides by [tex]\(\frac{5}{9}\)[/tex].

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

So, the rearranged formula that highlights the measure in degrees Celsius is:

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

This formula allows you to convert a temperature from Fahrenheit to Celsius.