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niclahhh
hope this helps. I just used similar triangles to solve this. feel free to clarify if unsure!
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Answer:

PK = 75

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{PK}{WK}[/tex] = [tex]\frac{AK}{NK}[/tex] , substitute values

[tex]\frac{PK}{54}[/tex] = [tex]\frac{62.5}{45}[/tex] ( cross- multiply )

45 PK = 3375 ( divide both sides by 45 )

PK = 75

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