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50 points! Look at the picture attached. Random answers will be reported

50 points! Look at the picture attached. Random answers will be reported-example-1
User Fenster
by
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2 Answers

5 votes

Explanation:

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50 points! Look at the picture attached. Random answers will be reported-example-1
User Hanmant
by
4.9k points
3 votes

Answer:

  • x > 14

Explanation:

  • Triangle inequality:
  • for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side

Apply to the given triangle:

  • 2x + 1 + x + 16 > 2x+ 31 ⇒ 3x - 2x > 31 - 17 ⇒ x > 14
  • 2x + 1 + 2x + 31 > x + 16 ⇒ 4x - x > 16 - 32 ⇒ 3x > -16 ⇒ x > -16/3
  • 2x + 31 + x + 16 > 2x + 1 ⇒ 3x - 2x > 1 - 47 ⇒ x > - 46

Combination of the three inequalities:

  • x > 14
User Daninthemix
by
5.6k points
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