This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's how to solve these problems by identifying the pattern. The pattern observed from the examples is: 1. The top right number is the square of the difference between the top left and bottom left numbers. Top Right = (Top Left - Bottom Left)^2 2. The bottom right number is the sum of the top right number and the top left number. Bottom Right = Top Right + Top Left Let's apply this rule to solve problems 11-20. 11. Step 1: Find the top right value using the first rule. Top Right = (81 - 64)^2 = 17^2 = 289 Step 2: Verify the bottom right value using the second rule. Bottom Right = 289 + 81 = 370 This matches the given bottom right value. The missing value is 289. 12. Step 1: Let the missing top left value be X. Use the first rule to find X. 169 = (X - 36)^2 sqrt(169) = X - 36 13 = X - 36 X = 13 + 36 = 49 Step 2: Verify X using the second rule. 218 = 169 + X X = 218 - 169 = 49 Both rules give the same value for X. The missing value is 49. 13. Step 1: Find the top right value using the first rule. Top Right = (25 - 16)^2 = 9^2 = 81 Step 2: Verify the bottom right value using the second rule. Bottom Right = 81 + 25 = 106 This matches the given bottom right value. The missing value is 81. 14. Step 1: Find the top right value using the first rule. Top Right = (9 - 0)^2 = 9^2 = 81 Step 2: Find the bottom right value using the second rule. Bottom Right = 81 + 9 = 90 The missing value is 90. 15. Step 1: Let the missing top left value be X. Use the first rule to find X. 121 = (X - 25)^2 sqrt(121) = X - 25 11 = X - 25 X = 11 + 25 = 36 Step 2: Verify X using the second rule. 157 = 121 + X X = 157 - 121 = 36 Both rules give the same value for X. The missing value is 36. 16. Step 1: Let the missing bottom left value be Y. Use the first rule to find Y. 121 = (36 - Y)^2 sqrt(121) = 36 - Y 11 = 36 - Y Y = 36 - 11 = 25 Step 2: Verify the bottom right value using the second rule. 157 = 121 + 36 157 = 157 This matches the given bottom right value. The missing value is 25. 17. Step 1: Let the missing top left value be X. Use the first rule to find X. 361 = (X - 81)^2 sqrt(361) = X - 81 19 = X - 81 X = 19 + 81 = 100 Step 2: Verify X using the second rule. 461 = 361 + X X = 461 - 361 = 100 Both rules give the same value for X. The missing value is 100. 18. Step 1: Let the missing bottom left value be Y. Use the first rule to find Y. 225 = (64 - Y)^2 sqrt(225) = 64 - Y 15 = 64 - Y Y = 64 - 15 = 49 Step 2: Verify the bottom right value using the second rule. 289 = 225 + 64 289 = 289 This matches the given bottom right value. The missing value is 49. 19. Step 1: Find the top right value using the first rule. Top Right = (9 - 9)^2 = 0^2 = 0 Step 2: Find the bottom right value using the second rule. Bottom Right = 0 + 9 = 9 The missing value is 9. 20. Step 1: Find the top right value using the first rule. Top Right = (16 - 4)^2 = 12^2 = 144 Step 2: Verify the bottom right value using the second rule. Bottom Right = 144 + 16 = 160 This matches the given bottom right value. The missing value is 144. That's 2 down. 3 left today — send the next one.