madisonryan01 madisonryan01
  • 28-08-2019
  • Mathematics
contestada

a. 12
b. 14
c. 8
d. 6

a 12 b 14 c 8 d 6 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 30-08-2019

Answer:

  d.  6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

  PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

  7×12 = (3x)(7x)

  4 = x² . . . . . . . . . divide by 21

  2 = x . . . . . . . . . . take the square root

__

  PD = 3x = 3·2

  PD = 6

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