victoriaballou07
victoriaballou07 victoriaballou07
  • 10-05-2022
  • Mathematics
contestada

EXTRA POINTS AND BRAINIEST IF CORRECT!! Someone Please help me with this.
ABCD ~ QRST

Find the missing length, m.

EXTRA POINTS AND BRAINIEST IF CORRECT Someone Please help me with thisABCD QRSTFind the missing length m class=

Respuesta :

georgepahno georgepahno
  • 10-05-2022

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]

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