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−−→ l o bisects ∠ n l m , lm = 18, no = 4, and ln = 10. What is the value of x?
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37 votes
37 votes
−−→ l o bisects ∠ n l m , lm = 18, no = 4, and ln = 10. What is the value of x?

User Gunty
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1 Answer

15 votes
15 votes

Answer: x = 7.2

Step-by-step explanation:

LN = 10 and LM = 18

apply the angle bisector theorem for triangles

LN/LM = NO/MO

substitute the known values for the letters, and x for MO since it's an unknown value

10/18 = 4/x

cross multiply

10x = 72

divide

x = 7.2

User Mevin Babu
by
2.6k points
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