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defon
3 years ago
12

Use triangle ABC below to answer the question that follows:

Mathematics
2 answers:
hoa [83]3 years ago
6 0

That would be (1) A+B=180-C. It's true but not useful for the proof.



AnnyKZ [126]3 years ago
3 0

Answer: Choice 1) The sum of the angles A and B are supplementary to angle C


Why is this the answer? Because we'll use facts 2 through 4 to help prove the triangles similar. If fact 2 is true, then fact 3 leads to helping set up the congruent corresponding angles (either A = D or C = E). Fact 4 is true because all angles are congruent to themselves, and this fact is the other angle pair we need to prove the triangles similar.


We don't use fact 1 even though it's a true statement. The fact that A+B+C = 180 isn't really useful to compare across two triangles.


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The answer is:  "p = 2" .
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Explanation:
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Given:
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  " 8p + 8 = 10 + 7p " ;   Solve for "p" ; 

Subtract "7p" from each side of the equation; & subtract "8" from each side of the equation; as follows:

8p + 8 − 7p − 8 = 10 + 7p − 7p <span>− 8 ; 
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to get: 
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"p = 2 " ;  which is our answer.
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3 years ago
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