Find the value of x.
A 2
B 4.8
C 6
D 6.4
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Answer:
D
Step-by-step explanation:
Δ DCA and Δ ABE are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CA}{BE}[/tex] = [tex]\frac{DA}{AE}[/tex] , substitute values
[tex]\frac{18}{10}[/tex] = [tex]\frac{x+8}{8}[/tex] ( cross- multiply )
10(x + 8) = 144 ( divide both sides by 10 )
x + 8 = 14.4 ( subtract 8 from both sides )
x = 6.4 → D