We will solve for MX using similar angles theorem
Let line MX be= y
we have to find the ratio of the small triangle to that of the big triangle
Therefore we will have,
![\begin{gathered} \frac{\text{xcm}}{(x+12)cm}=\frac{3.5\operatorname{cm}}{17.5\operatorname{cm}} \\ \text{when we cross multiply we wil have,} \\ 17.5* x=3.5(x+12) \\ 17.5x=3.5x+42 \\ by\text{ collecting like terms we wll have} \\ 17.5x-3.5x=42 \\ 14x=42 \end{gathered}]()
to get x we divide both sides by the coefficient of x which is 14
![\begin{gathered} (14x)/(14)=(42)/(14) \\ x=3.0\operatorname{cm} \end{gathered}]()
Hence ,
![\vec{MX}=3.0\operatorname{cm}]()
Therefore,
The correct option will be OPTION A