onesteeltank onesteeltank
  • 15-10-2018
  • Mathematics
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What is the length of DC? (picture)

What is the length of DC picture class=

Respuesta :

jimrgrant1 jimrgrant1
  • 15-10-2018

DC = [tex]\frac{5}{2}[/tex] = 2.5

since the triangles are similar then the ratios of corresponding sides are equal

[tex]\frac{AC}{AD}[/tex] = [tex]\frac{BC}{DE}[/tex]

[tex]\frac{7.5+DC}{7.5}[/tex] = [tex]\frac{8}{6}[/tex] (cross-multiply )

45 + 6DC = 60

6DC = 60 - 45 = 15 ( divide both sides by 6 )

DC = [tex]\frac{5}{2}[/tex]



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