Question 14 of 31What is the value of x in the diagram below?5412A. 8B. 9O c. 6D. 7SUBMIT

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)