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MathNet 2020 — Math Olympiad Vault — Part 02 Question 103

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02

Question 103

In the Cartesian plane, a line segment with midpoint $(2020,11)$ has one endpoint at $(a, 0)$ and the other endpoint on the line $y = x$. Compute $a$.