Final answer:
To find the length of EC, we can use the similarity of the triangles XWV and EDC. By setting up a proportion using the corresponding sides, we can solve for EC. The length of EC is 10 units.
Step-by-step explanation:
To find the length of EC, we need to first understand the given statement XWV ~ EDC. The symbol ~ represents similarity between two figures. In this case, it means that triangles XWV and EDC are similar. This implies that their corresponding sides are proportional.
Let's say the length of XWV is x and the length of EDC is y. Then, we can set up the proportion:
XW/ED = WV/DC = XV/EC
Substituting the given values, we have:
x/ED = x/10 = x/EC
Cross-multiplying, we can solve for EC:
EC = (10 * x) / x = 10
So, the length of EC is 10 units.