To determine which temperature in Celsius is equivalent to [tex]\( 50^{\circ} F \)[/tex], we'll use the formula for converting Fahrenheit to Celsius:
[tex]\[ C = \frac{5}{9} (F - 32) \][/tex]
Here, [tex]\( F = 50 \)[/tex].
Step-by-step solution:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 50 - 32 = 18 \][/tex]
2. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[ \frac{5}{9} \times 18 \][/tex]
3. Simplify the multiplication:
[tex]\[ \frac{5}{9} \times 18 = 10 \][/tex]
So, [tex]\( 50^{\circ} F \)[/tex] is equal to [tex]\( 10^{\circ} C \)[/tex].
Therefore, the correct answer is:
[tex]\[ 10^{\circ} C \][/tex]
