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Answer:
NQ=15
Step-by-step explanation:
To solve this we can use the side-splitter theorem.
NS/SR=NP/PQ
PQ=x since we do not know it's value
now to subsitute the given/known values.
12/78=2/x
solve for x using cross multiplication.
12x=156
x=13
PQ=13
NQ= PQ+NP
NP=2
NQ=13+2
NQ=15
The length of NQ is 15.