fionaglenanne225 fionaglenanne225

02-08-2021
Mathematics

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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=

Respuesta :

mhanifa mhanifa

02-08-2021

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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