Chords ac and bd intersect at e, with bd = 7 units, de = 2 units, and ae = 4 units. what is the length of segment ce? units

If bd is 7 and de is 2, then be is 5.  we have the other chord length ae = 4 and we need the rest of ac, which is the unknown length of ce.  the rule here is to multiply de by be and set it equal to ae times ce.  5*2 = 4x and 4x = 10.  that makes x = 5/2, or 2.5.

Then why is the question on here if you know the answer

For the first question the answer is a, for the second c, for the third d, for the 4th b, for the 5th a