Question

100 POINTS! SHOW WORK!

Given : MO bisects

Answer 1

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

`\\ \sf\longmapsto 5x-22=2(x+31)`

`\\ \sf\longmapsto 5x-22=2x+62`

`\\ \sf\longmapsto 5x-2x=62+22`

`\\ \sf\longmapsto 3x=84`

`\\ \sf\longmapsto x=(84)/(3)`

`\\ \sf\longmapsto x=28`

Answer 2

`\huge\boxed{\boxed{\mathcal{C)x=13.25}}}`

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:

`\text{according to the question}`

`\sf5x - 22 = x + 31`

`step - 2 : solve`

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