contestada

3. In the diagram below AB' is the image of AB after a reflection in AC. If mBAC4x7 and mBAB '  64 , then which of the following is the value of x?
(1) 6.25 (3) 14.25 (2) 12.5 (4) 18.75

Respuesta :

MrRoyal

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

Read more about reflections at:

https://brainly.com/question/938117

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