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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