Question

What is the value of x?



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Answer 1

x = 11

Explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides, it divides those sides proportionally , that is

`(6)/(48)` =
`(5)/(3x+7)` ( cross- multiply )

6(3x + 7) = 5 × 48 = 240 ( divide both sides by 6 )

3x + 7 = 40 ( subtract 7 from both sides )

3x = 33 ( divide both sides by 3 )

x = 11