If XZ = 7x + 1 and PZ = 4x - 1, what is XP?
A. 11
B. 12
C. 19
D. 22

In a parallelogram WXYZ.

The length of XP is 11.

The correct answer is option A.

WXYZ is a parallelogram

The diagonals of a parallelogram bisect each other:

Substitute: into

Segment Addition Postulate:

Put x = 3

Therefore, The length of XP is 11.

For more information:

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A. 11

Step-by-step explanation:

-The diagonals of a Parallelogram  intersect each other at the midpoint.

-It therefore follows that:

#we equate and solve for X then determine the length of XP:

Hence, XP=11

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)