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Omni-MATH / Pentagon SPEAK is inscribed in triangle NOW such that S and P lie on segment NO,K and A lie on segment NW, and E lies on segment OW. Suppose that NS=SP=PO and NK=KA=AW. Given that …

Problem

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problem

Pentagon SPEAKS P E A K is inscribed in triangle NOWN O W such that SS and PP lie on segment NO,KN O, K and AA lie on segment NWN W, and EE lies on segment OWO W. Suppose that NS=SP=PON S=S P=P O and NK=KA=AWN K=K A=A W. Given that EP=EK=5E P=E K=5 and EA=ES=6E A=E S=6, compute OWO W.
Plain-text mathematical notation (without MathML)
Pentagon SPEAK is inscribed in triangle NOW such that S and P lie on segment NO,K and A lie on segment NW, and E lies on segment OW. Suppose that NS=SP=PO and NK=KA=AW. Given that EP=EK=5 and EA=ES=6, compute OW.
Original LaTeX notation
Pentagon $S P E A K$ is inscribed in triangle $N O W$ such that $S$ and $P$ lie on segment $N O, K$ and $A$ lie on segment $N W$, and $E$ lies on segment $O W$. Suppose that $N S=S P=P O$ and $N K=K A=A W$. Given that $E P=E K=5$ and $E A=E S=6$, compute $O W$.

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Source and history

task_id
84448463-b6c4-5ab1-a2e3-d3509cf4f6e1
task_key
test--84448463-b6c4-5ab1-a2e3-d3509cf4f6e1
task_revision_id
1
config / split
/ test

Official source

initial import