Respuesta :

mhanifa

Answer:

  • k = 10

Step-by-step explanation:

According to intersecting secants theorem we have the following equation:

  • 3x*(3x + 5x) = 2x*(2x + kx)

Solve it for k:

  • 3x*8x = 4x² + 2kx²
  • 24x² = (4 + 2k)x²
  • 24 = 4 + 2k
  • 20 = 2k
  • k = 10