sdavis7092 sdavis7092
  • 30-07-2018
  • Mathematics
contestada

what is the value of x for this circle?

what is the value of x for this circle class=

Respuesta :

jcherry99
jcherry99 jcherry99
  • 30-07-2018

Comment

The general rule for this question is that the distance from the point to the nearest edge of the circle times the full length of the secant to the furthest edge is a constant.

Givens

Upper secant has two lengths 6 and (6 + 9) which is 15

The lower secant is 3 and (x + 3)

6*15 = k

3*(x + 3) = k

Therefore

90 = 3(x + 3) Remove the brackets.

90 = 3x + 9 Subtract 9 from both sides.

90 - 9 = 3x

81 = 3x Divide by 3

x = 81/3

x = 27 <<<< Answer

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