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9x9 grid of numbers representing Chebyshev distance from the center, overlaid with blue contour lines connecting equal values.

Topographic contour map showing a 9x9 grid with values decreasing from 50 at the center to 0 at the edges.

Topographic contour map showing a 9x9 grid with values decreasing from 50 at the center to 0 at the edges.

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Show Answer Key & Explanations Step-by-step solution for: Surveying course: Survey 4, Contour lines
To find the value at the very center of the grid, we can look for a pattern in the numbers.

Step 1: Identify the center.
The grid is a 9x9 square (9 rows and 9 columns). The exact center is the number in the 5th row and the 5th column. Looking at the image, this number is 50.

Step 2: Check the pattern to verify.
Let's see how the numbers change as we move away from the center.
* Center: 50
* One step out (Up, Down, Left, Right): The numbers are 45. ($50 - 5 = 45$)
* Two steps out: The numbers are 40. ($45 - 5 = 40$)
* Three steps out: The numbers are 35. ($40 - 5 = 35$)

The pattern shows that for every step you move away from the center towards the edge, the number decreases by 5. This confirms that the starting number in the middle is correct.

Final Answer:
50
Parent Tip: Review the logic above to help your child master the concept of contour lines worksheet.
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