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Omni-MATH / Let ABCD be a rectangle with AB=3 and BC=7. Let W be a point on segment AB such that AW=1. Let X,Y,Z be points on segments BC,CD,DA, respectively, so that quadrilateral WXYZ is a r…

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problem

Let ABCDA B C D be a rectangle with AB=3A B=3 and BC=7B C=7. Let WW be a point on segment ABA B such that AW=1A W=1. Let X,Y,ZX, Y, Z be points on segments BC,CD,DAB C, C D, D A, respectively, so that quadrilateral WXYZW X Y Z is a rectangle, and BX<XCB X<X C. Determine the length of segment BXB X.
Plain-text mathematical notation (without MathML)
Let ABCD be a rectangle with AB=3 and BC=7. Let W be a point on segment AB such that AW=1. Let X,Y,Z be points on segments BC,CD,DA, respectively, so that quadrilateral WXYZ is a rectangle, and BX<XC. Determine the length of segment BX.
Original LaTeX notation
Let $A B C D$ be a rectangle with $A B=3$ and $B C=7$. Let $W$ be a point on segment $A B$ such that $A W=1$. Let $X, Y, Z$ be points on segments $B C, C D, D A$, respectively, so that quadrilateral $W X Y Z$ is a rectangle, and $B X<X C$. Determine the length of segment $B X$.

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Source and history

task_id
a491f6d9-977e-55d2-b104-808fce4d9b08
task_key
test--a491f6d9-977e-55d2-b104-808fce4d9b08
task_revision_id
1
config / split
/ test

Official source

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