Respuesta:
Explicación paso a paso:
Las rectas paralelas determinan segmentos proporcionales:
(2x + 1)/(3x + 2) = 10/26,25
(2x + 1)/(3x + 2) = 40/105
(2x + 1)/(3x + 2) = 8/21
(2x + 1).21 = (3x + 2).8
42x + 21 = 24x + 16
18x = -5
[tex]\boxed{\boxed{x=-\frac{5}{18} }}[/tex]
⇒ ab = 2( -5/18 ) + 1 = -10/18 + 1 = 8/18
ab = 4/9
⇒ bc = 3( -5/18 ) + 2 = -15/18 + 2 = 21/18
bc = 7/6
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Respuesta:
Explicación paso a paso:
Teorema de Thales:
Las rectas paralelas determinan segmentos proporcionales:
ab/bc = de/ef
(2x + 1)/(3x + 2) = 10/26,25
(2x + 1)/(3x + 2) = 40/105
(2x + 1)/(3x + 2) = 8/21
(2x + 1).21 = (3x + 2).8
42x + 21 = 24x + 16
18x = -5
[tex]\boxed{\boxed{x=-\frac{5}{18} }}[/tex]
⇒ ab = 2( -5/18 ) + 1 = -10/18 + 1 = 8/18
ab = 4/9
⇒ bc = 3( -5/18 ) + 2 = -15/18 + 2 = 21/18
bc = 7/6