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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
Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle. Ans: To prove 3(AB 2
Discuss comparative statics,Market model and Nationa income model
Demerits and merits of the measures of central tendency The arithmetic mean or a.m Merits i. It employs all the observations given ii. This is a very useful
The Limit : In the earlier section we looked at some problems & in both problems we had a function (slope in the tangent problem case & average rate of change in the rate of chan
a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.
The angle calculate of the base angles of an isosceles triangle are shown by x and the vertex angle is 3x + 10. Determine the measure of a base angle. a. 112° b. 42.5° c.
3 multiplied by 5 by 3
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Q. What are Whole numbers? The set of whole numbers is the set of natural numbers with the zero thrown in: 0,1,2,3,4,... Hint: Some people remember that the whole numbers
find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month
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