Starbucks8821 Starbucks8821
  • 19-06-2020
  • Mathematics
contestada

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


a. b=4

b. b=5

c. b=6

d. b=7

Respuesta :

Newton9022 Newton9022
  • 23-06-2020

Answer:

a. b=4

Step-by-step explanation:

[tex]\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}[/tex]

From the attached triangle drawn below:

NL=20,  LM=3b, [tex]\angle L=x^\circ[/tex]

[tex]\sec x =\dfrac{20}{3b}[/tex]

Since we are told that:

[tex]\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[/tex]

The correct option is A.

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baquerocatalina03 baquerocatalina03
  • 09-02-2021

Answer:

B= 4

Step-by-step explanation:

I got it right on the test

Answer Link

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