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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Determine the Value of K in the diagram ( secant lines to circles).

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER Determine The Value Of K In The Diagram Secant Lines To Circles class=

Sagot :

Mhanifaidn

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
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