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Can you help me solve

Can you help me solve-example-1

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The angle measures tell you the triangles are similar, so corresponding sides will have the same ratio.
GX/BX = UH/NH
GX = BX·UH/NH
GX = 7·18/(3√11)
GX = (42/11)√11

GB/BX = UN/NH
GB = BX·UN/NH
GB = 7·15/(3√11)
GB = (35/11)√11
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