Answered

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Answer:

PN = 26 units

Step-by-step explanation:

The dashes on the lines mean that they are of equal length.

Therefore PN = MP

So equate the expressions of these lines and solve for x, then plug the found value of x back into the expression of PN to find its length.

                                                          PN = MP

                                                    11x + 4 = 17x - 8

Add 8 to both sides:                  11x + 12 = 17x

Subtract 11x from both sides:             12 = 6x

Divide both sides by 6:                       2 = x

Therefore, x = 2

Substitute x = 2 into the expression for PN:

PN = 11x + 4

      = (11 x 2) + 4

      = 22 + 4

      = 26

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