Answer and Step-by-step explanation:
To find x, we have to understand the information given by the figure.
We see that the lines:
DC = 4
CA = 7
BA = x + 12
EC = x
We need to check if the triangle follows the Triangle Proportionality Theorem, which states that if a line parallel to one side of a triangle intersects the other two sides at different points, it divides the sides into corresponding proportional segments.
The triangle doesn't appear to have symbols (> or ∥) indicating that the segments EC and BA are parallel to each other.
This means we can't use any proportionality theorems to find x.
The answer is B. Cannot be determined.
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