Question

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

Answer 1

option A. 11 units

Explanation:

we know that

The figure show a parallelogram

In a parallelogram the diagonals bisect each other

so

`PZ=(1)/(2)XZ`

`XP=PZ`

substitute the given values

`4x-1=(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`