Short Answer D
Formula
Measured from the intersect point of the two secants (AC and AD) the relationship is
AC * AB = AE * AD
The formula holds true for any two secants.
Givens
AC = 2 + 1.5 = 3.5
AB = 2
AE = 2.5
AD = 2.5 + x
Sub and Solve
3.5 * 2 = 2.5*(2.5 + x) Remove the brackets on the right.
7 = 6.25 + 2.5x Subtract 6.25 from both sides.
7 - 6.25 = 2.5x
0.75 = 2.5 x Divide by 2.5
0.75/2.5 = x
x = 0.3 <<<<<<<<<<<Answer
