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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
Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
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The price of heating oil rose from $1.10 per gallon to $1.43 per gallon. What is the percent of increase? The price of heating oil rose $0.33 ($1.43 - $1.10 = $0.33). To ?nd ou
how to find eigen value for the given matrix 122 021 -122
7
Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?
example with solution of quadratic polynomial
using 5 rectangles what is the area under a curve using the function f(x)=3x+4 and boundries [0,2]
Volumes of Solids of Revolution / Method of Rings In this section we will begin looking at the volume of solid of revolution. We have to first describe just what a solid of rev
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