The value of x = 1 so the correct answer is option D.
The complete question is attached in the image below.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that triangles ABC and DEC are congruent to each other.
We are to find the value of x.
From the figure, we note that
AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5.
Since ΔABC ≅ ΔDEC, their corresponding sides will be equal.
Therefore, we must have
AB = DE
4x - 1 = x + 2
4x - x = 2 + 1
3x = 3
x = 1
Thus, the required value of x is 1.
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