Respuesta :

[tex]\\ \sf\longmapsto 3x+3x-2=46[/tex]

[tex]\\ \sf\longmapsto 6x-2=46[/tex]

[tex]\\ \sf\longmapsto 6x=46+2[/tex]

[tex]\\ \sf\longmapsto 6x=48[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{48}{6}[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • Write an equation to represent the value of x in the figure given.

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

  • Given, < DAB = 46°
  • From the figure we can see that, < DAB = < DAC + < CAB ⇨ equation 1.
  • So, 46° = 3x° + 3x - 2° ⇨ equation 2.

Now, let's solve & find the value of x with equation 2.

[tex] \large \sf \: 46° = 3x° + 3x - 2° \\ \large \sf \: 46 = 6x - 2 \\ \large \sf \:46 + 2 = 6x \\ \large \sf \:48 = 6x \\ \large \sf \: \frac{48}{6} = x \\ \large \boxed{\bf \:8 = x}[/tex]

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