At ___________ temperature, both the Fahrenheit and Centigrade scales have the same value.

Correct option is C

The correct answer is: (C) –40°

Explanation:

• The Fahrenheit (°F) and Celsius (°C) scales intersect at –40°.
• The relationship between Celsius and Fahrenheit is given by the formula:

​$$F = \frac{9}{5}C + 32$$​​

• Setting F=C in the formula and solving for the temperature at which both scales are equal:

​$$C = \frac{9}{5}C + 32\\ \ \\C - \frac{9}{5}C = 32\\ \ \\-\frac{4}{5}C = 32\\ \ \\C = -40°$$​​

• Therefore, at –40°, both Fahrenheit and Celsius scales show the same value.

Information Booster:

• The Fahrenheit scale is mainly used in the United States, while the Celsius scale is used globally for scientific and most everyday applications.
• The point where the Fahrenheit and Celsius scales meet is at –40°.