kaylap46
kaylap46 kaylap46
  • 03-04-2020
  • Mathematics
contestada

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

If XZ 7x1 and PZ 4x1 what is XP imagine shown below please help class=

Respuesta :

calculista
calculista calculista
  • 10-04-2020

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]

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