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Step-by-step explanation:

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Mathematics ia a subject of study of such topics as quantity, structure, space, and change. It has no generally accepted definition.

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Answer:

XZ = 10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{10}{XZ}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

XZ = 10[tex]\sqrt{2}[/tex]

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