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SOLUTION

In this question, we are meant to get the value of x, in the similar figures.

Here, we need to use the formula:

[tex]\begin{gathered} \frac{23}{40}\text{ = }\frac{x}{17} \\ \text{cross}-\text{ multiply, we have:} \\ 23\text{ x 17 = 40 x X} \\ \text{Divide both sides by 40, we have:} \\ X\text{ = }\frac{23X\text{ 17}}{40} \\ X\text{ = }\frac{391}{40} \\ X\text{ =9.775 cm} \\ X\text{ = 9.8 cm }\ldots\ldots OPTION\text{ C} \end{gathered}[/tex]

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