Respuesta :

Answer:

m = 4

Step-by-step explanation:

We have similar trapezoids, so corresponding angles must be congruent, and the ratios of pairs of corresponding sides must be equal. For both of these to be true, we need to find the ratio of pairs of corresponding sides:

13 / 5.2 = 2.5, 12 / 4.8 = 2.5, 22.5/9 = 2.5,

15 / 6 = 2.5

So

[tex] \frac{10}{m} = 2.5[/tex]

[tex]m = 4[/tex]