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What polygon has 2 right angles and 1 set of parallel lines?
Answera polygon that has two right angles and one set of parallel lines is a hexagon
Do graph of a system of parallel lines will have no solutions?
Correct. Unless the parallel lines are coincident, in which case the solution set is the whole line.
How many parallelograms are formed when a set of 5 parallel lines intersect a set of 4 parallel lines?
This one is much more straightforward. There are 5C2 = 10 ways to choose two parallel lines from the set of five. There are 4C2 = 6 ways to choose two parallelograms from a set of four. Any parallelogram is uniquely determined by one pair of lines from the five, and one pair of lines from the four. Thus, the number of possible parallelograms is(5C2)*(4C2) = (10)*(6) = 60
Does parallel lines always have the same slope?
Yes, that's what makes them parallel lines - they have the same slope. So they never will intersect with each other. If a set of lines didn't have the same slope, at some point they would intersect and thus would not be parallel.
What polygon has one set of parallel lines?
A trapezoid or, in Britain, a trapezium. Other than in Britain, a trapezium is a quadrilateral with no parallel sides at all.
