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The value of x is 8 from the diagram given.
The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.
To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:
[tex]\mathbf{\dfrac{BC}{DC} = \dfrac{AC}{EC}}[/tex]
[tex]\mathbf{\dfrac{x}{10} = \dfrac{12}{15}}[/tex]
x = 120/15
x = 8
Therefore, we can conclude that the value of x is 8.
Learn more about calculating similar triangles here:
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