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In general, none.
Rays aren't really lines, since (Euclidean) lines extend infinitely in all directions, so they can't be parallel lines. But that's to fret a bit too much over the wording. Yes, rays, just like lines and line segments, can be parallel to other rays, lines, or line segments.
For two linear equations, they are equations representing parallel lines. (The lines must not be concurrent because if they are, you will have an infinite number of solutions.) For example y = mx + b and y = mx + c where b and c are different numbers are two non-concurrent parallel lines. The equations have no solution. With more than two linear equations there is much more scope. Unless ALL the lines meet at one point, the system will not have a solution. So a system consisting of equations defining the three lines of a triangle, for example, will not have a solution.
Five types of lines are: Horizontal - A line that runs from left to right in a straight line vertical - A line that runs from top to bottom in a straight line Perpendicular - When two straight lines intersect (i.e.cross) each other at right angles (= 90°) Parallel - When two lines never meet each other, no matter how much you extend them Intersecting - When two or more lines meet or cross
A pentagon can have none, one or two pairs of parallel sides.