1. **Problem statement:** Given a net of a cube with labeled edges, determine which edge joins with edge $X$ when the net is folded into a cube.
2. **Understanding the net:** The net consists of six squares arranged in a cross shape:
- Top square has edge $X$ on its upper edge.
- Left square has edge $F$ on its right edge.
- Central square is unlabeled.
- Right square has edge $A$ on its left edge.
- Bottom right square has edge $B$ on its left edge.
- Bottom center square has edges $D$ (upper edge) and $C$ (right edge).
- Bottom left square has edge $E$ on its upper edge.
3. **Cube folding rules:** When folded, adjacent squares in the net become adjacent faces of the cube. Edges that are adjacent in the net will join in the cube.
4. **Identify adjacency of edge $X$:** Edge $X$ is on the upper edge of the top square. The top square is adjacent to the central square below it.
5. **Edges adjacent to $X$ in the net:** The top square's lower edge touches the central square's upper edge. The edge $X$ is on the top square's upper edge, which is not adjacent to any other square in the net.
6. **Folding the net:** When folded, the top square folds down to form one face of the cube. The edge $X$ will join with the edge on the square adjacent to the top square's upper edge in the folded cube.
7. **Determining the joined edge:** The top square's upper edge $X$ will join with the edge on the bottom square's upper edge when folded. The bottom center square has edge $D$ on its upper edge.
8. **Conclusion:** Edge $X$ joins with edge $D$ when the net is folded into a cube.
**Final answer:** Edge $X$ joins with edge $D$.
Cube Edge 574Fbf
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.