Respuesta :

Answer:

n = 24

Step-by-step explanation:

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

[tex]\frac{XZ}{PR}[/tex] = [tex]\frac{XY}{PQ}[/tex] = [tex]\frac{YZ}{QR}[/tex]

hence

[tex]\frac{30}{n}[/tex] = [tex]\frac{35}{28}[/tex] ( cross- multiply )

35n = 30 × 28 = 840 ( divide both sides by 35 )

n = [tex]\frac{840}{35}[/tex] = 24



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