danmattscott danmattscott
  • 07-06-2018
  • Mathematics
contestada

What is the value of x?



x =

What is the value of x x class=

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sqdancefan
sqdancefan sqdancefan
  • 08-06-2018
The product of external length and total length is the same for each secant. That is
  EC×ED = EB×EA
  (x+4)(x+4+1) = (x+1)(x+1+11) . . . . . . substitute values from the diagram
  x² + 9x + 20 = x² + 13x + 12 . . . . . simplify
  8 = 4x . . . . . . . . . . . . . . . . . . . . . . . subtract x²+9x+12
  2 = x . . . . . . . . . . . . . . . . . . . . . . . . divide by 4

The value of x is ...
  x = 2
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