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#4. Find the value of x and use it to find the length of CE, BD, and BE Find BD.
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#4. Find the value of x and use it to find the length of
CE, BD, and BE
Find BD.

#4. Find the value of x and use it to find the length of CE, BD, and BE Find BD.-example-1
User Dwkd
by
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1 Answer

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10 votes

Answer:

  • x = 8
  • 12 = BD
  • 23 = BE
  • 13 = CE

Explanation:

We know that:

  • BD = 2x - 4
  • DE = 2x - 3 - 2
  • BE = 3x - 1
  • CE = 2x - 3

Solution:

  • (2x - 4) + (2x - 3 - 2) = 3x - 1
  • => 2x - 4 + 2x - 3 - 2 = 3x - 1
  • => 4x - 9 = 3x - 1
  • => 4x - 3x = 9 - 1
  • => x = 8
  • => 2x - 4 = BD
  • => 2(8) - 4 = BD
  • => 16 - 4 = BD
  • => 12 = BD
  • => 3x - 1 = BE
  • => 3(8) - 1 = BE
  • => 24 - 1 = BE
  • => 23 = BE
  • => 2x - 3 = CE
  • => 2(8) - 3 = CE
  • => 16 - 3 = CE
  • => 13 = CE

Hence, the answers are:

  • x = 8
  • 12 = BD
  • 23 = BE
  • 13 = CE
User Maths Noob
by
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