gzkckdgp59
gzkckdgp59 gzkckdgp59
  • 04-05-2022
  • Mathematics
contestada

8x - 10
25
B
E
18
15
с
D
Solve for x

8x 10 25 B E 18 15 с D Solve for x class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 08-05-2022

Step-by-step explanation:

the upper (smaller) triangle and the complete triangle are similar.

that means the angles in both triangles are the same. and the lengths of all corresponding pairs of sides correlate with the same scaling factor.

therefore,

(8x - 10) / (8x - 10 + 18) = 25 / (25 + 15)

(8x - 10) / (8x + 8) = 25 / 40 = 5/8

8(8x - 10) = 5(8x + 8)

64x - 80 = 40x + 40

24x = 120

x = 5

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