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kap26 [50]
3 years ago
11

In the diagram below segment DEF is shown (since all three letters are shown, they are collinear). If

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

  • x = 4

Step-by-step explanation:

<u>Given</u>

  • DE = 3x + 2, EF = x + 5, DF = 23

<u>As per segment addition postulate</u>

  • DE + EF = DF

<u>Substituting values:</u>

  • 3x + 2 + x + 5 = 23
  • 4x + 7 = 23
  • 4x = 16
  • x = 4
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