Answer :

Hope008

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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