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Relation B/w Celcius & Fahrenheit

To established the relationship b/w Centigrate & farenhiet Scale we take two thermometers and place both of them in a water bath. the mercury in each of the thermometer rises to the same level.
form figure the relation
CB/AB=C-0/100-0=f-32/212-32
=>c/100=f-32/180
=>180c=100(f-32)
=>9c=5f-32
=>c/5=f-32/9
Physics