Answered

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Find the value of x.
X + 11
X-1
B
8
10
E
x=

Find The Value Of X X 11 X1 B 8 10 E X class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The product of secant lengths to the two intersection points is the same for both secants.

  (AD)(AE) = (AB)(AC)

  8(8+10) = (x-1)(x-1 +x+11)

  144 = 2x^2 +8x -10

  x^2 +4x -77 = 0

  (x +11)(x -7) = 0

Solutions to this quadratic are x = -11, x = 7. (These values make the factors zero.) Only the positive solution is useful here

  x = 7

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