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The value of x is 5. The correct option is the second option-  5

Proportionality theorem

From the question, we are to determine the value of x

By the proportionality theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Considering the diagram, we can write that

[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]

Then, we get

12 × 35 = 28(35-4x)

420 = 980 -112x

112x = 980 - 420

112x = 560

x = 560/ 112

x = 5

Hence, the value of x is 5. The correct option is the second option-  5

Learn more on Proportionality theorem here: https://brainly.com/question/8160153

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