Kamdyn70
Kamdyn70 Kamdyn70
  • 25-07-2019
  • Mathematics
contestada

in the figure, ∆ABC ~ ∆DEF. solve for x

A) x = 1.5

B) x = 6

C) x = 4

D) x = 5.5​

in the figure ABC DEF solve for x A x 15B x 6C x 4D x 55 class=

Respuesta :

calculista
calculista calculista
  • 28-07-2019

Answer:

Option B x=6 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and DEF are similar

therefore

∠A≅∠D

∠B≅∠E

∠C≅∠F

and

AB/DE=BC/EF=AC/DF

Find the value of x

AB/DE=BC/EF

substitute the given values

x/3=16/8

x=3*16/8

x=6 units

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