Answer:
x = 18, y = 12
Step-by-step explanation:
Δ SRT and Δ VUT are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{SR}{VU}[/tex] = [tex]\frac{ST}{VT}[/tex] , substitute values
[tex]\frac{12}{4}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )
4x = 72 ( divide both sides by 4 )
x = 18
From side ST
y + 6 = 18 ( subtract 6 from both sides )
y = 12
