Point p is the midpoint of both mr and nq, which are on the same line. if mn=26, np=3x+4, and qr=6x+2, find np.

NP= 16 cm

Explanation:

As we shown in the figure below :

Since P is the midpoint of MN and  NQ

So, We consider ΔMNP and ΔPQR,

∠MPN=∠QPR  (∵ Vertically opposite angles are equal)

MP=PR  (∵ P is the mid point of MR)

NP=PQ  (∵P is the midpoint of NQ)

So, ΔMNQ ≅ ΔPQR  (∵By SAS congruence )

∴

So, NP

the probability is 0