doughnutsun
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  • 09-07-2022
  • Mathematics
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Math 2 Of high school

Math 2 Of high school class=

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Hope008
Hope008 Hope008
  • 09-07-2022

Answer:

  • B. BC = 18 so ∆ABC ~ ∆DEF by SAS

Step-by-step explanation:

[tex] \bf \cfrac{AB}{DE} = \cfrac{BC}{EF} [/tex]

  • [tex] \bf \cfrac{15}{10} = \cfrac{BC}{12} [/tex]
  • [tex]\bf \cfrac{3}{2} = \cfrac{BC}{12} [/tex]
  • [tex]\bf BC = \cfrac{3}{2} \times 12 [/tex]
  • [tex]\bf 3 \times 6[/tex]
  • [tex]\bf BC = 18[/tex]
  • [tex] \bf \angle B = \angle \: E[/tex]

So, ∆ABC ~ ∆DEF by SAS.

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