Explicación paso a paso:
Por el Teorema de Thales se tiene:
AD/DE = AB/BC
3/(x + 5) = (3 + 1)/(x + 7)
3/(x + 5) = 4/(x + 7) //multiplicamos en aspa
3(x + 7) = 4(x + 5)
3x + 21 = 4x + 20
21 - 20 = 4x - 3x
1 = x
x = 1
Respuesta: El valor de x es 1
=================>Felikin<==================
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Verified answer
Explicación paso a paso:
Por el Teorema de Thales se tiene:
AD/DE = AB/BC
3/(x + 5) = (3 + 1)/(x + 7)
3/(x + 5) = 4/(x + 7) //multiplicamos en aspa
3(x + 7) = 4(x + 5)
3x + 21 = 4x + 20
21 - 20 = 4x - 3x
1 = x
x = 1
Respuesta: El valor de x es 1
=================>Felikin<==================