A. 5.1
B. 5.2
C. 14.3
D. 14.4
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Answer:
C
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally.
BE is such a line , then
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] ( substitute values )
[tex]\frac{9}{5}[/tex] = [tex]\frac{9.2}{BC}[/tex] ( cross- multiply )
9 BC = 46 ( divide both sides by 9 )
BC ≈ 5.1 ( to the nearest tenth )
Then
AC = AB + BC = 9.2 + 5.1 = 14.3