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Gina Wilson unit 6 homework 4

Gina Wilson unit 6 homework 4-example-1
User Atul K
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1 Answer

7 votes

Answer:

  • 10) 57.6
  • 11) 27.3
  • 12) 12.75
  • 13) 10
  • 14) 14
  • 15) 5

Explanation:

  • If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

Using the above we find the value of x

10.

  • x/48 = 30/25
  • x/48 = 6/5
  • x = 48*1.2
  • x = 57.6

11.

  • x/ (49 - 28) = 36.4/28
  • x/21 = 9.1/7
  • x = 21*9.1/7
  • x = 27.3

12.

  • (2x + 6)/36 = 52.5/60
  • (x + 3)/18 = 7/8
  • x + 3 = 18*7/8
  • x + 3 = 15.75
  • x = 12.75

13.

  • (x - 3)/21 = (x - 1)/27
  • 9(x - 3) = 7(x - 1)
  • 9x - 27 = 7x - 7
  • 9x - 7x = 27 - 7
  • 2x = 20
  • x = 10

14.

  • (2x + 5)/22 = (x + 10)/16
  • 8(2x + 5) = 11(x + 10)
  • 16x + 40 = 11x + 110
  • 16x - 11x = 110 - 40
  • 5x = 70
  • x = 14

15.

  • (7x - 11)/(4x - 2) = 20/(35 - 20)
  • (7x - 11)/(4x - 2) = 4/3
  • 3(7x - 11) = 4(4x - 2)
  • 21x - 33 = 16x - 8
  • 21x - 16x = 33 - 8
  • 5x = 25
  • x = 5
User Jason Samuels
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