Answer:
The correct answer is option D. x = 16
Explanation:
We have the equation:
[tex]\frac{2}{x-8}=\frac{4}{x}[/tex]
We can take the reciprocal on both sides:
[tex]\frac{x-8}{2}=\frac{x}{4}[/tex]
Then solve:
[tex]\frac{x}{2}-\frac{8}{2}-\frac{x}{4}=0[/tex][tex]\frac{x}{2}-\frac{x}{4}=4[/tex][tex]\frac{x}{4}=4[/tex][tex]x=4\cdot4=16[/tex]
