shantelareed shantelareed
  • 08-03-2021
  • Mathematics
contestada

Help me with this geometry

Help me with this geometry class=

Respuesta :

eudora eudora
  • 13-03-2021

Answer:

x = 11.2

Step-by-step explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

[tex]\frac{PQ}{VS}=\frac{QR}{ST}[/tex] ---------(1)

Since, scale factor = [tex]\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}[/tex]

[tex]\frac{2}{5}[/tex] = [tex]\frac{PQ}{VS}[/tex]

Therefore, from equation (1)

[tex]\frac{2}{5}=\frac{x}{28}[/tex]

x = [tex]\frac{28\times 2}{5}[/tex]

x = 11.2

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