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Parallel Lines and Proportionality

ACTMAT-XOFYNN

A 715-yard strip of beachfront land is divided amongst four homeowners. Each homeowner’s property has direct access to its own strip of sand and ocean, as shown in the figure below (note: figure not drawn to scale).

If the property lines between each property and the ocean are parallel (as shown), what is the length of the property line labeled $z$?

A

$\text{100 yards}$

B

$\text{130 yards}$

C

$\text{162.5 yards}$

D

$\text{165 yards}$

E

$\text{178.75 yards}$