Answered

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Answer:

The value of x is 4.

Step-by-step explanation:

From the image uploaded, line BC is parallel to line AD and 15 is the mid-segment.

The mid-segment of a trapezoid is calculated as;

[tex]15 = \frac{|BC| \ + \ |AD|}{2} \\\\15 = \frac{2x \ + \ (3x\ +\ 10)}{2} \\\\15 = \frac{2x \ + \ 3x \ + \ 10}{2} \\\\15 = \frac{5x \ + \ 10}{2} \\\\5x \ + \ 10 = 2(15)\\\\5x \ + \ 10 = 30\\\\5x = 30 -10\\\\5x = 20\\\\x = \frac{20}{5} \\\\x = 4[/tex]

Thus, the value of x is 4.

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