Dynomite08
Dynomite08 Dynomite08
  • 10-05-2021
  • Mathematics
contestada

Find KL pls fast correct answer

Find KL pls fast correct answer class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 10-05-2021

Answer:

  • 14

Step-by-step explanation:

According to intersecting secants theorem:

  • KL*JL = ML²

Substitute values and solve for x:

  • (x - 1)(x - 1 + 7) = 12²
  • (x - 1)(x + 6) = 144
  • x² - 5x - 6 = 144
  • x² - 5x - 150 = 0
  • x² - 15x + 10x - 150 = 0
  • x(x - 15) + 10(x - 15) = 0
  • (x - 15)(x + 10) = 0
  • x = 15
  • x = -10 (ignored as negative)

Find the value of Kl

  • KL = x - 1 = 15 - 1 = 14

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