Name: SAT Math Help & School Math Mastery
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#33598

right triangles

similarity

geometry

medium

75 sec

In triangle $MNO$ , point $P$ is on side $MN$ and point $Q$ is on side $MO$ such that line segment $PQ$ is parallel to side $NO$ . If $MP = 2 x$ and $PN = 3 x$ , and $NO = 80$ , what is the length of line segment $PQ$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.