Subjects algebra

Diamond Values

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1. Problem: Find the missing values in each diamond shape where the center is usually the sum of the left and right numbers or the average of top and bottom. Step 1: Understand the diamond: Top + Bottom = Left + Right = Center (when all known) 2. For Diamond 1: Top: 100, Left: 150, Center: 150, Right: 50, Bottom: 150 Check sum: Left + Right = 150 + 50 = 200 Top + Bottom = 100 + 150 = 250 Center = 150, center doesn't equal the sums exactly; likely center is mean or given. No blanks here, so just verify. 3. For Diamond 2: Top: 150, Left: 200, Center: 215, Right: ? , Bottom: 150 We find Right as: Since Center often equals sum of Left + Right or average: Assuming Center is sum Left + Right: Right = Center - Left = 215 - 200 = 15 4. For Diamond 3: All sides 75, nothing missing. 5. For Diamond 4: Top: 125, Left: 125, Center: ?, Right: 150, Bottom: 200 Find Center: Center = Left + Right = 125 + 150 = 275 6. For Diamond 5: Top: 50, Left: 25, Center: 75, Right: 50, Bottom: ? Find Bottom: Top + Bottom = Left + Right = 25 + 50 = 75 So Bottom = 75 - Top = 75 - 50 = 25 7. For Diamond 6: Top: 15, Left: ?, Center: 105, Right: 75, Bottom: 75 Find Left: Center = Left + Right = 105 Left = Center - Right = 105 - 75 = 30 Answer summary: Diamond 2 Right = 15 Diamond 4 Center = 275 Diamond 5 Bottom = 25 Diamond 6 Left = 30