Question

Help me please confused.

Answer 1

IJ = 18

KL = 19

Explanation:

The given diagram shows line segment IL with points J and K that partition IL into three smaller segments:
`\sf \overline{IJ}`,
`\sf \overline{JK}`, and
`\sf \overline{KL}`.

The given lengths of the line segments are:

• 
  `\sf \overline{IL} = 49`
• 
  `\sf \overline{JL} = 31`
• 
  `\sf \overline{JK} = 12`

To find the length of segment IJ, we can subtract
`\sf \overline{JL}` from
`\sf \overline{IL}`:

`\sf \overline{IJ} = \overline{IL} - \overline{JL}`

`\sf \overline{IJ} = 49 - 31`

`\sf \overline{IJ} = 18`

To find the length of segment KL, we can subtract
`\sf \overline{JL}` and
`\sf \overline{JK}` from
`\sf \overline{IL}`:

`\sf \overline{KL} = \overline{IL} - \overline{IJ} - \overline{KL}`

`\sf \overline{KL} = 49 - 18 - 12`

`\sf \overline{KL} = 31 - 12`

`\sf \overline{KL }= 19`

Therefore, the lengths of the segments are:

• 
  `\sf \overline{IJ} = 18`
• 
  `\sf \overline{KL} = 19`

Answer 2

IJ = 18 , KL = 19

Explanation:

from the diagram

IJ + JL = IL ( substitute values )

IJ + 31 = 49 ( subtract 31 from both sides )

IJ = 18

and

JK + KL = JL ( substitute values )

12 + KL = 31 ( subtract 12 from both sides )

KL = 19