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25 votes
These are the new questions, there are 2 here. 2 images, 2 different questions

These are the new questions, there are 2 here. 2 images, 2 different questions-example-1
These are the new questions, there are 2 here. 2 images, 2 different questions-example-1
These are the new questions, there are 2 here. 2 images, 2 different questions-example-2
User Mariette
by
5.0k points

1 Answer

3 votes

Answer:

  • 1) 12.6
  • 2) 18

Explanation:

Use ratios and solve for x

Q1

  • 27/24 = (3x - 21)/(x + 13)
  • 9/8 = 3(x - 3)/(x + 13)
  • 3/8 = (x - 3)/(x + 13)
  • 8(x - 3) = 3(x + 13)
  • 8x - 24 = 3x + 39
  • 8x - 3x = 39 + 24
  • 5x = 63
  • x = 63/5
  • x = 12.6

Q2

  • 9/14 = (x + 8)/(3x - 2)
  • 9(3x - 2) = 14(x + 8)
  • 27x - 18 = 14x + 112
  • 27x - 14x = 112 + 18
  • 13x = 130
  • x = 10
  • EF = x + 8 = 10 + 8 = 18
User Yogeshwar Singh
by
4.9k points