JimmieG295928 JimmieG295928
  • 29-10-2022
  • Mathematics
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Question 14 of 31What is the value of x in the diagram below?5412A. 8B. 9O c. 6D. 7SUBMIT

Question 14 of 31What is the value of x in the diagram below5412A 8B 9O c 6D 7SUBMIT class=

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HavanaA137868 HavanaA137868
  • 29-10-2022

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)

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