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Aw) 4. Solve for x.
3x + 1
10
7x-1
22

Aw 4 Solve For X 3x 1 10 7x1 22 class=

Sagot :

Answer:

x = 8

Explanation:

In the given triangle

  • A line segment joining points on two sides and parallel to the 3rd side
  • That means this line segment divided the two sides into equal ratios
  • It divided the 1st side into 10 and 3x + 1
  • It divided the 2nd side into 22 and 7x - 1
  • 10/3x+1 = 22/7x-1
  • By using cross multiplication
  • 10(7x - 1) = 22(3x + 1)
  • 10(7x) - 10(1) = 22(3x) + 22(1)
  • 70x - 10 = 66x + 22
  • Subtract 66x from both sides
  • 70x - 66x - 10 = 66x - 66x + 22
  • 4x - 10 = 22
  • Add 10 to both sides
  • 4x - 10 + 10 = 22 + 10
  • 4x = 32
  • Divide both sides by 4
  • x = 8
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