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The polygons are similar but not necessarily drown to scale. What is the value of x?

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38

Step-by-step explanation:

Since the polygons are similar, the corresponding sides are all in the same proportions.

x-2/4.5 = 16/2 = 48/6

Solving for x

$$\frac{x-2}{4.5}=\frac{48}{6}$$

$$\frac{x-2}{4.5}=8$$

$$\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5$$

$$x-2=36$$

$$x-2+2=36+2$$

$$x=38$$

Therefore, the value of x is 38
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