Answered

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Solve the proportions:
6. 9/16 = x/12

7. x-3/18 = 12/9

8. 17/15 = 10/2x-2

9. x-16/x+6 = 3/5

Solve The Proportions 6 916 X12 7 X318 129 8 1715 102x2 9 X16x6 35 class=

Sagot :

Answer:

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

Step-by-step explanation:

- Question 6 -

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, the value of x in this proportion is 6.75.

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- Question 7 -

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, the value of x is 27

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- Question 8 -

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, the value of x is 92/17

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- Question 9 -

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, the value of x is 49.

_______________________________

Hoped this helped.

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