Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{LM}{LU}[/tex] = [tex]\frac{LN}{LT}[/tex] , substitute values
[tex]\frac{3x+12}{25}[/tex] = [tex]\frac{45}{25}[/tex] ( cross- multiply )
25(3x + 12) = 1125 ( divide both sides by 25 )
3x + 12 = 45 ( subtract 12 from both sides )
3x = 33 ( divide both sides by 3 )
x = 11 → A
