Answer:
EF = 14, SV ≈ 21.8
Step-by-step explanation:
Since STUV and CFED are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{EF}{UT}[/tex] = [tex]\frac{CF}{ST}[/tex], substitute values
[tex]\frac{EF}{18}[/tex] = [tex]\frac{21}{27}[/tex] ( cross- multiply )
27EF = 378 ( divide both sides by 27 )
EF = 14
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Also
[tex]\frac{SV}{CD}[/tex] = [tex]\frac{CF}{ST}[/tex], substitute values
[tex]\frac{SV}{28}[/tex] = [tex]\frac{21}{27}[/tex] ( cross- multiply )
27SV = 588 ( divide both sides by 27 )
SV ≈ 21.8 ( to 1 dec. place )
