keybarnes840 keybarnes840
  • 22-06-2021
  • Mathematics
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The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS

The two triangles are similar What is the value of x Enter your answer in the box HELP PLS class=

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lshaan
lshaan lshaan
  • 22-06-2021

Solution for above problem :

The Above triangles are similar, Therefore the corresponding sides would be proportional.

that is : -

  • [tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex]

  • [tex]16 \times (5x - 2) = 12 \times 6x[/tex]

  • [tex]80x - 32 = 72x[/tex]

  • [tex]80x - 72x = 32[/tex]

  • [tex]8x = 32[/tex]

  • [tex]x = 32 \div 8[/tex]

  • [tex]x = 4[/tex]

[tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

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