Answer:
[tex]k=\frac{21}{2}[/tex]Explanation:
Given the equation:
[tex]\frac{8}{7}=\frac{12}{k}[/tex]To solve for k, let us take the reciprocal of both sides, so that k is a numerator.
[tex]\frac{7}{8}=\frac{k}{12}[/tex]Multiply both sides by 12
[tex]\begin{gathered} k=\frac{7}{8}\times12 \\ \\ =\frac{7\times12}{8} \\ \\ =\frac{84}{8} \\ \\ =\frac{21}{2} \end{gathered}[/tex]