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

what is the value of x?

what is the value of x class=

Respuesta :

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

Otras preguntas

Forces come in pairs. What are these pairs called ?
Which is the correct sequence of events during embryonic development? (A) cleavage — differentiation — fertilization — gastrulation (B) differentiation — fertil
You have had a class discussion on the following question:What areYou have had a class discussion on the following question:What are the pros and cons of keepin
i am stuck heres the question;the product of 2 numbers is 144 and their difference is 10 what is the su of the 2 numbersif you can help Thanks¡
List three impulse goods that you or someone you know has purchased
What are two differences between a rhizoid and a rhizome?
How was genghis khan able to unite the nomadic mongols
the decimal of 10 3/4
name the 4 main elements that make up 95% of an organism
how to separate salt and sugar?