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consider the two planes. in the diagram, the only figure that could be …

Question

consider the two planes.
in the diagram, the only figure that could be parallel to line c is
○ line a.
○ line b.
○ line d.
○ plane q.

Explanation:

Brief Explanations
  1. Line a intersects plane R (where line c lies), so it must intersect line c or be skew, not parallel.
  2. Line b lies in plane Q, which intersects plane R. Line b's direction crosses the intersection of the planes, so it cannot be parallel to line c.
  3. Line d is in the same plane R as line c, and they do not intersect, so they are parallel.
  4. A plane (plane Q) cannot be parallel to a line; a line can be parallel to a plane, but not the other way around in this framing.

Answer:

line d.