katycatsalt15
katycatsalt15 katycatsalt15
  • 02-11-2019
  • Mathematics
contestada

Solve for X.
Help, I cannot figure this out!

Solve for X Help I cannot figure this out class=

Respuesta :

DarcySea DarcySea
  • 06-11-2019

Answer:

b. [tex]\frac{52}{3}[/tex]

Step-by-step explanation:

From the diagram shown,

There are 3 parallel lines cut by 2 non-parallel transversals.

According to the triangular proportionality theorem extension to parallel lines cut by transversals,

The ratio of lengths of transversals are proportional to each other.

Therefore,

[tex]\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\frac{3}{4}=\frac{3x+7}{5x-8}\\3(5x-8)=4(3x+7)\\15x-24=12x+28\\15x-12x=28+24\\3x=52\\x=\frac{52}{3}[/tex]

Hence, the correct option is b.

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