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