nxthxnkzlawley
nxthxnkzlawley nxthxnkzlawley
  • 25-10-2018
  • Mathematics
contestada

what is the value of x?

what is the value of x class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 25-10-2018

These are similar triangles so

9/(9+12) = x/ (x+14)

using cross products

9*(x+14) = x*(9+12)

9x+126 = 21x

subtract 9x from each side

126 = 12x

x=10.5

Answer Link
Mathunga
Mathunga Mathunga
  • 25-10-2018

Set up a proportion.

[tex]\frac{x}{14 + x} = \frac{9}{9 + 12}[/tex]

Now cross multiply.

[tex]x(9 + 12) = 9(14 + x)[/tex]

---> [tex]21x = 9x + 126[/tex]

Isolate variable x ----> [tex]21x - 9x = 126[/tex]

----->[tex]12x = 126[/tex]

Once again isolate variable x:

[tex]\frac{12x}{12} = \frac{126}{12}[/tex]

x = 21/2 or 10.5.

Answer Link

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