Answer:
Step-by-step explanation:
<u>Given triangle LNK </u>
- m∠NLK = 72°
- m∠LNK = 58°
- m∠LKN = ?
<u>Interior angles sum to 180°</u>
- m∠NLK + m∠LNK + m∠LKN = 180°
- 72° + 58° + m∠LKN = 180°
- m∠LKN = 180° - 130°
- m∠LKN = 50°
-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
factor: (x-2)(x+1)=0
x=2 or x=-1
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End Consumers</span>
The length of the line segment is 3.
Hope this helps!