Sure, let's convert [tex]$77^{\circ} F$[/tex] to [tex]$^{\circ} C$[/tex] using the given formula.
The formula to convert Fahrenheit to Celsius is:
[tex]\[ T _{\left({ }^{\circ} C \right)}=\left( T _{\left({ }^{\circ} F \right)}-32\right) \times \frac{5}{9} \][/tex]
1. Substitute [tex]$ T _{\left({ }^{\circ} F \right)} = 77$[/tex] into the formula:
[tex]\[ T _{\left({ }^{\circ} C \right)}=\left( 77 - 32 \right) \times \frac{5}{9} \][/tex]
2. Subtract 32 from 77:
[tex]\[ 77 - 32 = 45 \][/tex]
3. Multiply 45 by [tex]$\frac{5}{9}$[/tex]:
[tex]\[ 45 \times \frac{5}{9} = 25 \][/tex]
Therefore, the temperature equivalent to [tex]$77^{\circ} F$[/tex] is [tex]$25^{\circ} C$[/tex].