Respuesta :

Answer:

[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • disects
  • equation
  • PEMDAS

tips and formulas:

  • disects divide an angel to two equal angles

let's solve:

[tex] step - 1 : define[/tex]

[tex]\text{according to the question}[/tex]

[tex] \sf5x - 22 = x + 31[/tex]

[tex] step - 2 : solve[/tex]

  1. [tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex]
  2. [tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex]
  3. [tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]

If MO bisects <LMN then m<LMN=2m<LMO

[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]

[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]

[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]

[tex]\\ \sf\longmapsto 3x=84[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

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