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I need help with this question thank you

I need help with this question thank you-example-1

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Explanation:

that makes NOP and QRP similar triangles.

that means that there is one common scale factor for the lengths of all pairs of correlating sides.

that means

QR/NO = RP/OP

OP = OR + RP

20/32 = RP/(12 + RP)

20(12 + RP) = 32RP

240 + 20RP = 32RP

240 = 12RP

RP = 20

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