yves379
yves379 yves379
  • 04-04-2019
  • Mathematics
contestada

what is the value of x?​

what is the value of x class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 16-02-2020

Answer:

  2

Step-by-step explanation:

The rule for secants from an external point is that the product of the near and far distance to the intersection with the circle is a constant.

  EA·EB = EC·ED

  (x+12)·(x+1) = (x+4)·(x+5)

  x^2 +13x +12 = x^2 +9x +20 . . . . . . eliminate parentheses

  4x = 8 . . . . . . . . . . . . subtract x^2+9x+12 from both sides

  x = 2 . . . . . . . . . . . . . divide by 4

The value of x is 2.

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