Question
In the pulley system shown in this figure, MQ = 12 cm, NP = 3 cm, and QP = 40 cm. Find MN.
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Answered by
GPT 3.5
To find MN, we can first find the lengths of NP and MQ using the given information.
Let x be the length of NP. Since NP = 3 cm and QP = 40 cm, we have:
NP + QP = NQ
3 + 40 = NQ
43 = NQ
Now, let y be the length of MQ. Since MQ = 12 cm and NQ = 43 cm, we have:
NQ + MQ = MN
43 + 12 = MN
55 = MN
Therefore, MN = 55 cm.
Let x be the length of NP. Since NP = 3 cm and QP = 40 cm, we have:
NP + QP = NQ
3 + 40 = NQ
43 = NQ
Now, let y be the length of MQ. Since MQ = 12 cm and NQ = 43 cm, we have:
NQ + MQ = MN
43 + 12 = MN
55 = MN
Therefore, MN = 55 cm.
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