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Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

[tex]\frac{3}{4}[/tex] × 16 = 12

x = 12

OR: Set up a proportion:

[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]

cross-multiply

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

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