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in the diagram of MQP below, RN||QP,MR=4,RQ=9, and NP=18 what isntje length of MP?

In The Diagram Of MQP Below RNQPMR4RQ9 And NP18 What Isntje Length Of MP class=

Answer :

In this problem we know that triangles RMN and QMF are similar so we know that this relation have be true so:

[tex]\frac{RM}{QR}=\frac{MN}{NP}[/tex]

So we can find MN so:

[tex]\begin{gathered} \frac{4}{9}=\frac{MN}{18} \\ MN=\frac{18\cdot4}{9} \\ MN=8 \end{gathered}[/tex]

So finali we can add MN with NP to find MP:

[tex]\begin{gathered} MP=8+18 \\ MP=26 \end{gathered}[/tex]

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