Answer:
see explanation
Step-by-step explanation:
4
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute in values )
[tex]\frac{x-1}{18}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )
12(x - 1) = 72 ( divide both sides by 12 )
x - 1 = 6 ( add 1 to both sides )
x = 7
------------------------------------------------------------------------------
5
The parallel line segment SV is half of RW
that is x = 7.5
SV also divides the sides RT and WT in proportion, that is
[tex]\frac{10}{3}[/tex] = [tex]\frac{8}{y}[/tex] ( cross- multiply )
10y = 24 ( divide both sides by 10 )
y = 2.4
