Answer:
CD =7.5 AC =20
Step-by-step explanation: you can answer this question by creating a proportion. For the side AB, we can find the total length by adding AE and EB, for a total of 8. Now we can build a proportion, where x equals AC. 12.5/x= 5/8. When you build a proportion, it’s important to make sure you use the same corresponding parts in the same places, for example, in both the fractions we made for the proportion, the total side length was on the bottom. From this proportion, we now cross multiply to get 5x=100. Divide both sides by 5 and you get that the length of AC is 20. We can do the same with CD. The proportion you’d use to find CD would involve the smaller line segment over the total length of the line. This would look like so: x/20=3/8. Cross multiply again and you’d get 60=8x. Divide both sides by 8 and you’d get x=7.5. This means the length of CD is 7.5.