claudettejoseph18
claudettejoseph18 claudettejoseph18
  • 01-03-2019
  • Mathematics
contestada

What is the value of x?


Enter your answer in the box.


x = cm


What is the value of xEnter your answer in the boxx cm class=

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gmany
gmany gmany
  • 01-03-2019

Answer:

x = 5

Step-by-step explanation:

Look at the picture.

ΔABC and ΔEBD are similar (AA). Therefore the sides are in proportion:

[tex]\dfrac{AB}{EB}=\dfrac{AC}{ED}[/tex]

We have

[tex]AB=40cm\\EB=x\\AC=32cm\\ED=4cm[/tex]

Substitute:

[tex]\dfrac{40}{x}=\dfrac{32}{4}[/tex]               cross multiply

[tex]32x=(40)(4)[/tex]

[tex]32x=160[/tex]             divide both sides by 32

[tex]x=5[/tex]

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