Answer:
C. 5.6
Explanation:
To start, place a point where AC intersects BD. We will label this point "Q". The distance from "Q" to C will be labeled as "y". (y = QC)
We will set up a formula like this:
(AQ)×(QC) = (BQ)×(QD)
This gives you:
3.2×y = 4.8×1.6
Simplified:
3.2y = 7.68
Then, divide both sides by 3.2 to find y, or QC:

Simplified:

Now that we have QC, we need to add AQ and QC together to find AC:
AC = (AQ)+(QC)
AC = 3.2 + 2.4
Solved:
AC = 5.6