Find ae, if eb = 16 cm de = 10 cm and ef = 8 cm.

Step-by-step explanation:

We have been given an image of a circle and we are asked to find the measure of measure of AE.

We will use intersecting chords theorem to solve for AE. Intersecting chords theorem states that the products of the lengths of the line segments on each chord are equal.

Using above theorem we can set an equation as:

Upon substituting our given values in above equation we will get,

Upon dividing both sides of our equation by 16 we will get,

Therefore, the measure of AE is 5 cm.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.