MayMadinah
MayMadinah MayMadinah
  • 17-02-2022
  • Mathematics
contestada

A. 5.1
B. 5.2
C. 14.3
D. 14.4

A 51 B 52 C 143 D 144 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 17-02-2022

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

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