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Answer :
Final answer:
To find the value of x, set up an equation using the fact that B, D, and F are midpoints of the sides of a triangle.
Explanation:
To find the value of x, we need to set up an equation using the information given. We know that B, D, and F are midpoints of the sides of a triangle. This means that the lengths of BF and DF are equal to half the lengths of the corresponding sides of the triangle. Let's set up the equation:
BF = 2x - 6
EC = 44
Since BF is equal to half the length of EC, we can write:
2x - 6 = 44/2
2x - 6 = 22
2x = 22 + 6
2x = 28
x = 28/2
x = 14
Therefore, the value of x is 14.
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