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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

In the $xy$-plane, lines $k$ and $j$ are perpendicular and intersect at the point $(5,26)$. Line $j$ passes through the origin, and line $k$ passes through the point $(p,0)$, where $p$ is a constant. What is the value of $p$?

A

$-130.2$

B

$-129.8$

C

$139.8$

D

$140.2$