Respuesta :

Answer:

22.5

Step-by-step explanation:

A dilation is a non rigid transformation which shrink or stretch a figure.

If the scale factor, b>1, the figure will grow

If the scale factor is less than 1, the figure will shrink

The scale factor is 1.5 so the figure will grow.

A dilation about a scale factor makes both figures porportional assuming we know all corresponding angles are congruent. So this means we just multiply PQ by 1.5 to get P'Q'

[tex]15 \times 1.5 = 22.5[/tex]