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📰 Thus, the value of $x$ that satisfies the equation is: 📰 \]Question: An anthropologist discovers ancient carvings depicting a regular hexagon with an area of \( 54\sqrt{3} \) square units. If each side is reduced by 2 units, by how many square units does the area decrease? 📰 Solution: The area \( A \) of a regular hexagon with side length \( s \) is \( A = \frac{3\sqrt{3}}{2}s^2 \). Given \( 54\sqrt{3} = \frac{3\sqrt{3}}{2}s^2 \), solving for \( s^2 \) yields \( s^2 = 36 \), so \( s = 6 \). The new side length is \( 6 - 2 = 4 \). The new area is \( \frac{3\sqrt{3}}{2}(4)^2 = 24\sqrt{3} \). The decrease in area is \( 54\sqrt{3} - 24\sqrt{3} = 30\sqrt{3} \). \boxed{30\sqrt{3}} 📰 Download Waterfox Browser 9121112 📰 Uncover Every Corner The Ultimate Nebraska County Map You Need To Download Now 6731283 📰 Google Maps App 5286101 📰 You Wont Believe How Efficient This Micro Hydro Flask Really Is 7861348 📰 Log In Faster Than Ever The Ultimate Guide To Digital Cookie Login Secrets 673759 📰 You Wont Believe What Health And Human Services Leaders Are Doing To Revolutionize Wellness 2411175 📰 A Companys Revenue Increased By 25 From Last Year Reaching 250000 This Year What Was Last Years Revenue 6632655 📰 Amazing Bear Drawing Secret Revealedno Artist Skill Needed To Impress 8384886 📰 Radioactive Fallout 9211175 📰 Uconn Women Basketball 2644964 📰 Revolutionize Hr Tracking How The Oracle Fusion Hcm Fast Formula Transforms Workforce Management 5083845 📰 Amc Alderwood Mall 16 2465616 📰 Bank Notaries 4433172 📰 5Question Find The Smallest Positive Integer Whose Cube Ends In 888 7831519 📰 Watch This Epic Showdown Bobcat Vs Mountain Lion Natures Ultimate Test 1959329