Bearrrr1216 Bearrrr1216
  • 11-12-2019
  • Mathematics
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If DGH ~ DEF, Find the value of X

If DGH DEF Find the value of X class=

Respuesta :

calculista
calculista calculista
  • 17-12-2019

Answer:

[tex]x=25[/tex]

Step-by-step explanation:

we know that

DGH ~ DEF ---> given problem

Remember that

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

so

[tex]\frac{DG}{DE}=\frac{GH}{EF}[/tex]

substitute the given values

[tex]\frac{52}{91}=\frac{x+3}{2x-1}[/tex]

[tex](2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25[/tex]

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