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26-02-2022
Mathematics

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Given the circle below with secants PQR and TSR, find the length of PQ. round to the nearest tenth if necessary

Given the circle below with secants PQR and TSR find the length of PQ round to the nearest tenth if necessary class=

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26-02-2022

Answer:

PQ ≈ 20.5

Step-by-step explanation:

The product of lengths from R to the intersection points with the circle is the same for each secant:

RS×RT = RQ×RP

40(40 +31) = (44)(PQ +44)

40(71)/44 = PQ +44

PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

PQ ≈ 20.5

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