10. (18 points) Try it: Above is the simplified method for making a grass flower knot in Chinese knots. After making the grass flower knot, cut the 5 outer rings as shown in the figure, and then untie all the knots to see how many segments the rope is cut into. Think about it: The following is a work by a Chinese knotting expert named Little Orchid. She used one piece of rope to create such a beautiful butterfly knot. If the 7 rings on each of the butterfly's two large wings are cut with one cut, and then all the knots are untied, how many segments will the rope be cut into?
【Answer】Solution: (1) $5+1=6$ (segments) Answer: The rope is cut into 6 segments.
(2) $(7 \times 2 \times 2+2) \div 2$
$$
\begin{array}{l}
=30 \div 2 \\
=15 \text { (segments) }
\end{array}
$$

Answer: The rope is cut into 15 segments in total. Therefore, the answers are: $6 ; 15$.