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

The Polygons Are Similar But Not Necessarily Drown To Scale What Is The Value Of X class=

Sagot :

Snor1ax

Answer: 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

[tex]\frac{x-2}{4.5}=\frac{48}{6}[/tex]

[tex]\frac{x-2}{4.5}=8[/tex]

[tex]\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5[/tex]

[tex]x-2=36[/tex]

[tex]x-2+2=36+2[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38

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