Question

find the temperature at which fahrenheit and kelvin scale shows same reading?

Answer 1

C = (9/5 * F) + 32 

If we want C = F, then: 

C = (9/5 * C) + 32 
C - 32 = 9/5 * C 
-32 = 4/5 * C 
(5/4) * -32 = C = -40 = F 

The Fahrenheit scale can also have an equivalent point with Kelvin, as deflagrated mentioned above: 

K = C + 273.16 = [5/9 * (F-32)] + 273.16 

If we want K = F, then: 

K = [5/9 * (K-32)] + 273.16 
K = (5/9 * K) - (5/9 * 32) + 273.16 
4/9 * K = -(5/9 * 32) + 273.16 
4/9 * K = -17.78 + 273.16 = 255.38 

K = F = 574.61° 

Answer 2

Hey brainly user!

Here is your answer

On Kelvin and Fahrenheit scales

$\frac{k - 273.15}{100} = \frac{f - 32}{180}$

$\frac{x - 273.15}{100} = \frac{x - 32}{180}$

$x = \frac{9}{4} (255.38)$

$= 574.6$