The reciprocal property is:
[tex]\frac{x - 3}{12} = \frac{x + 3}{20}[/tex]
Solution:
Given that,
[tex]\frac{12}{x - 3} = \frac{20}{x + 3}[/tex]
The reciprocal property is given as:
The reciprocal of a fraction is the numerator and denominator switched
[tex]\frac{a}{b} = \frac{c}{d}\\\\Then\\\\\frac{b}{a} = \frac{d}{c}[/tex]
Therefore,
[tex]\frac{12}{x - 3} = \frac{20}{x + 3}[/tex]
By reciprocal property,
Switch the numerator and denominator of right side fraction as well as left side fraction
The we get,
[tex]\frac{x - 3}{12} = \frac{x + 3}{20}[/tex]
Thus option C is correct
