When a line or shape or point is reflected, it must be reflected over a line.
The value of x is (b) 14.25
Reflection is a rigid transformation;
This means that:
[tex]\mathbf{\angle AC = \angle AB}[/tex]
So, we have
[tex]\mathbf{4x + 7 = 64}[/tex]
Subtract 7 from both sides
[tex]\mathbf{4x = 57}[/tex]
Divide both sides by 4
[tex]\mathbf{x = 14.25}[/tex]
Hence, the value of x is (b) 14.25
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