Respuesta :

sqdancefan

Answer:

. . . 18. x = 8√6

. . . 19. x = 3

. . . 20. x = 3√3

. . . 21. x = 5/3

Step-by-step explanation:

You have already marked the correct relationships on the drawings. Finding the value of x is a matter of making use of those relationships.

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18. As you show, x is the given side multiplied by √3, so is ...

. . .x = (8√2)(√3) = 8√6

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19. As you show, the given side is x multiplied by √2, so ...

. . . 3√2 = x√2

. . . 3 = x . . . . . . . . . . divide by √2

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20. As you show, the given side is x multiplied by √3, so ...

. . . x√3 = 9

. . . x = 3√3 . . . . . . multiply by (√3)/3

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21. As you show, ...

. . . 8x -10 = 2x

. . . 6x -10 = 0 . . . . . subtract 2x

. . . x - 10/6 = 0 . . . . divide by 6

. . . x = 5/3 . . . . . . . . reduce the fraction and add it to both sdes

nadiroz
18) x = 8√6
19) x = (3√2)/2
20) x = 3√3
21) roots of x are x= 1 or x = 5/3
x can't be 1 so x = 5/3

Tip for you: You are not meant to use Sine or Cosine Laws/Rules

What I used to obtain my answers
• Pythagorean Theorem
• Trigonometric ratios
• Quadratic equation
• Linear algebra

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