Answer:
x = 2
Step-by-step explanation:
Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is
[tex]\frac{3x}{4}[/tex] = [tex]\frac{7.5}{2.5x}[/tex] ( cross- multiply )
7.5x² = 30 ( divide both sides by 7.5 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
