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avanturin [10]
4 years ago
14

Need help with both 18 and 19.

Mathematics
1 answer:
Tema [17]4 years ago
5 0

18. Answer: D

<u>Step-by-step explanation:</u>

First, find the measure of the missing angle.

65° + 57° + x = 180°

      122° + x = 180°

                x = 58°

Next, match up the angles with the opposite sides:

65° ⇄ Swim

58° ⇄ Bike

57° ⇄ Run

Lastly, put them in order from least to greatest:

   57° < 58° < 65°

⇒ Run < Bike < Swim

The only multiple choice option that is correct is Bike > Run.

*****************************************************************************

19. Answer: 22.3°

<u>Step-by-step explanation:</u>

sin\theta = \dfrac{opposite}{hypotenuse}

sinD= \dfrac{EF}{DE}

sinD= \dfrac{19}{50}

D= sin^{-1}\bigg(\dfrac{19}{50}\bigg)

D = 22.3°

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