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What is Congruent Angles in Parallel Lines ?
Postulate 4.1 (The Parallel Postulate)
Through a given point not on a line there is exactly one line parallel to the line.
Theorem
If two parallel lines are cut by a transversal, each pair of alternate interior angles are congruent.
Given: and intersects at PProve: 1 @ 2 Proof: (indirect proof)
Assume m1 m2. Then we can draw another line through P such that the 3 formed by and is congruent to 2. From Theorem 4.1, // . That means is parallel to two lines in the plane at point P. This violates the Parallel Postulate. So we conclude that our assumption is false. Therefore, 1 @ 2
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the value of y for which x=-1.5
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a usual person a test will be at least 1.5 times as high as the upper
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