elizrdgz
elizrdgz elizrdgz
  • 14-01-2019
  • Mathematics
contestada

Use the diagram and the given information to find the unknown length.

Use the diagram and the given information to find the unknown length class=

Respuesta :

SerenaBochenek SerenaBochenek
  • 24-01-2019

Answer:

BC is 10 units.

Step-by-step explanation:

Given that, [tex]\frac{AB}{BC}=\frac{AE}{ED}[/tex]

AB=12 units

AD=33 units

AE=18 units

From the figure, AD=AE+ED ⇒ 33=18+ED ⇒ ED=15 units

[tex]\frac{AB}{BC}=\frac{AE}{ED}[/tex]

⇒  [tex]\frac{12}{BC}=\frac{18}{15}[/tex]

⇒  [tex]BC=\frac{12\times 15}{18}=10 units[/tex]

Hence, BC is 10 units.



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