Question

If XZ = 7x+1 and PZ = 4x-1, what is XP? ( imagine shown below please help)

Answer 1

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

$PZ=\frac{1}{2}XZ$

$XP=PZ$

substitute the given values

$4x-1=\frac{1}{2}(7x+1)$

solve for x

$8x-2=7x+1\\8x-7x=1+2\\x=3$

Find the value of PZ

$PZ=4x-1$

substitute the value of x

$PZ=4(3)-1=11\ units$

therefore

$XP=PZ=11\ units$