Write a polynomial that represents the area of the square.
2 answers:
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Answer:
Step-by-step explanation:
Given: DE║BC
To prove:
Statements Reasons
1). DE║BC 1). Given
2). ∠1 ≅ ∠4, ∠3 ≅ ∠4 2). Corresponding angles theorem
3). ΔADE ~ ΔABC 3). AA Similarity theorem
4). 4). Corresponding sides are proportional
5). 5). Segment addition postulate
6). 6).
7). 7). Subtract 1 from both sides
8). 8). Take the reciprocal of both sides
<h3>Answer: 95 degrees</h3>
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Explanation:
I recommend drawing it out to see what's going on. See the drawing below.
In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.
Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.