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xenn [34]
2 years ago
10

T

Mathematics
1 answer:
Marianna [84]2 years ago
7 0

Solution:

<u>Note that:</u>

  • AB = EF
  • BC = EG = 6x - 8
  • 7x - 19 = 2x + 11
  • Perimeter of triangle: 24 + 2x + 11 + 6x - 8

<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
  • => 7x - 2x = 19 + 11
  • => 5x = 30
  • => x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
  • => 24 + 2(6) + 11 + 6(6) - 8
  • => 24 + 12 + 11 + 36 - 8
  • => 24 + 12 + 3 + 36
  • => 75 units

The perimeter of the triangle ABC is 75 units.

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