Answer:
option A. 11 units
Step-by-step explanation:
we know that
The figure show a parallelogram
In a parallelogram the diagonals bisect each other
so
[tex]PZ=\frac{1}{2}XZ[/tex]
[tex]XP=PZ[/tex]
substitute the given values
[tex]4x-1=\frac{1}{2}(7x+1)[/tex]
solve for x
[tex]8x-2=7x+1\\8x-7x=1+2\\x=3[/tex]
Find the value of PZ
[tex]PZ=4x-1[/tex]
substitute the value of x
[tex]PZ=4(3)-1=11\ units[/tex]
therefore
[tex]XP=PZ=11\ units[/tex]
