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son4ous [18]
3 years ago
12

Find the value of x.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

Given a line parallel to a side of the triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

\frac{10-x}{x} = \frac{3}{2} ( cross- multiply )

3x = 2(10 - x)

3x = 20 - 2x ( add 2x to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

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