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madreJ [45]
3 years ago
9

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud

de un lado del octágono
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

2\cdot x + 4 = 3\cdot x - 8 (1)

A continuación, despejamos x en (1):

3\cdot x - 2\cdot x = 4 + 8

x = 12

Ahora, determinamos la longitud del lado del octágono: (x = 12)

l = 2\cdot x + 4

l = 28

La longitud del lado del octágono es de 28 unidades.

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