Triangle \(ABC\) is similar to triangle \(XYZ\), where \(A\), \(B\), …

Question

Prompt

Triangle

A B C

is similar to triangle

X Y Z

, where

A

B

, and

C

correspond to

X

Y

, and

Z

, respectively. In triangle

A B C

, the length of

\overline{A B}

130

and the length of

\overline{B C}

650

. In triangle

X Y Z

, the length of

\overline{Y Z}

70

. What is the length of

\overline{X Y}