Respuesta :

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

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.