Are the triangles similar? If so, write the similarity statement and state which theorem or postulate is used to prove the two t
riangles similar.
A. Yes, ABC ~ EDC by the SAS similarity theorem
B. Yes, ABC ~ DCE by the SSS similarity theorem
C. Yes, ABC ~ DEC by the AA similarity postulate
D. No, these triangles are not similar.
A. Yes, ABC ~ EDC by the SAS similarity theorem
B. Yes, ABC ~ DCE by the SSS similarity theorem
C. Yes, ABC ~ DEC by the AA similarity postulate
D. No, these triangles are not similar.
2 answers:
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You may notice that all of the terms have a common factor: . So, let's take the
out of all the terms. This gives us:
Using the Zero Product Property, we can say that both and
.
Let's solve both. is obvious, but we still need to solve our other term:
- Set up
- Factor
- Apply the Zero Product Property
Our answer is x = -6, 0, 4.