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Mathematics, 14.01.2021 18:20 COOLIOMARIS

Alyssa received a leadership patch, as shown below, when she was elected Student Body President. The patch is in the shape of a right triangle where the top section and the whole patch form similar triangles. If x = 45 mm, z = 80 mm, and the tangent of the bottom angle, where the star is located, is equal to , what is the length of w?

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