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What is the value of x?

What Is The Value Of X class=

Answer :

FIERYANSWERERFTGO

Answer:

x = 9 cm

create proportional equation:

[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]

[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]

[tex]\sf 9(3x+36) = 81(3x-20)[/tex]

[tex]\sf 27x+324 = 243x-1620[/tex]

[tex]\sf 27x-243x=-1620-324[/tex]

[tex]\sf -216x=-1944[/tex]

[tex]\sf x = 9[/tex]

MHANIFAGO

Answer:

  • x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

  • 72/9 = 56/(3x - 20)
  • 8 = 56/(3x - 20)
  • 3x - 20 = 56/8
  • 3x - 20 = 7
  • 3x = 27
  • x = 9

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