Find the value of k in the following figure.
\(3(k+3)=5(5+6)\)\(3k+9=55\)\(3k=46\)\(k=\dfrac{46}3\approx15.3\)
3(k+3)=5(5+6)
3k+9=55
3k=46
k = \(\frac{46}{3}\) ≈ 15.3