jenniiii77 jenniiii77
  • 14-06-2021
  • Mathematics
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Line segments AB and CB intersect outside of circle P as shown below. What is the value of x?

Line segments AB and CB intersect outside of circle P as shown below What is the value of x class=

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coolstick
coolstick coolstick
  • 14-06-2021

Answer:

4.5

Step-by-step explanation:

The Interesecting Secants Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal. A secant is a straight line that cuts a curve in two or more points, so this definitely applies here, as both AB and CB interesect the circle twice.

Using this theorem, we can say that 6*3=4*x, so 18=4*x and x=4.5

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