Final answer:
To find d/e given abc ~ def and a = 2 and b = 3, set up the proportion 2/3 = d/e. Cross multiply and divide by 2 to solve for e in terms of d.
Step-by-step explanation:
The question is asking us to find the value of d/e given that abc ~ def and a = 2 and b = 3. To find d/e, we need to find the ratio between the corresponding sides of the similar figures.
Since abc ~ def, we can set up the proportion: 2/3 = d/e. To solve for d/e, we can cross multiply to get 2e = 3d. Finally, we can divide both sides by 2 to isolate e. This gives us the equation: e = (3d)/2.