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