anonymous
  • anonymous
Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line. The length of AD is equal to 6, the length of DB is equal to 2, the length of AE is equal to 7 and the length of EC is equal to 3. She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
6:7 ≠ 2:7 6:8 ≠ 7:10 6:2 ≠ 7:10 6:2 ≠ 3:2
anonymous
  • anonymous
@Anaise
anonymous
  • anonymous
@zepupster

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anonymous
  • anonymous
@Zpupster
anonymous
  • anonymous
@Michele_Laino
Michele_Laino
  • Michele_Laino
please can you make a drawing of your triangle?
anonymous
  • anonymous
Michele_Laino
  • Michele_Laino
we can say that the assumption is a contradicted if and only if there is no proportionality between corresponding segments, or in other words, if the subsequent condition holds: \[6:2 \ne 7:3\]
Michele_Laino
  • Michele_Laino
now I apply the componendo property, so I get this: \[6:\left( {6 + 2} \right) \ne 7:\left( {7 + 3} \right)\]
Michele_Laino
  • Michele_Laino
so, what is the right option?
anonymous
  • anonymous
b?
anonymous
  • anonymous
sorry i got caught up
anonymous
  • anonymous
@Michele_Laino is b right?
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
thank you! :)

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