Answer:
y ≈ 4.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{RS}[/tex] = [tex]\frac{ED}{VU}[/tex] , substitute values
[tex]\frac{6}{4}[/tex] = [tex]\frac{8}{y+1}[/tex] ( cross- multiply )
6(y + 1) = 32
6y + 6 = 32 ( subtract 6 from both sides )
6y = 26 ( divide both sides by 6 )
y ≈ 4.3 ( to the nearest tenth )
