Answer:
y = 2
Explanation:
You want the value of y in the figure showing segment division by parallel lines.
Proportion
The parallel lines divide each transversal proportionally. This means ...
short segment / long segment = 3/(3y) = y/(2y)
Multiplying by 2y and simplifying, we have ...
2 = y
The value of y in the figure is 2.
__
Additional comment
The segments on the left are 3 and 6; the segments on the right are 2 and 4. They ratio of lengths is the same on left and right.
<95141404393>