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suter [353]
3 years ago
15

PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

a. b=4

Step-by-step explanation:

\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}

From the attached triangle drawn below:

NL=20,  LM=3b, \angle L=x^\circ

\sec x =\dfrac{20}{3b}

Since we are told that:

\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4

The correct option is A.

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Answer:

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