MO= MP + PO = 14 + 7 =21
MN= 17
MP=14
MQ==?
[tex]\frac{MO}{MN}=\frac{MP}{MQ}[/tex]substitute the values
[tex]\frac{21}{17}=\frac{14}{MQ}[/tex]cross-multiply
21 MQ = 17 x 14
21 MQ=238
Divide both-side of the equation by 21
MQ= 11.33 to the nearest hundredth