Respuesta :

the value of x = 9 (option B)

Explanation:

To determine x, we would use a scale factor.

Scale factor = ratio of corresponding sides of both figures

Scale factor = the side in the image/the side in the old image

[tex]\frac{12}{2}=\frac{54}{x}[/tex]

cross multiply:

12x = 54 *2

12x = 108

DIvide both sides by 12:

12x/12 = 108/12

x = 9

12/2 = 54/9 = 6

scale factor = 6

Hence, the value of x = 9 (option B)