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Nastasia [14]
2 years ago
15

(SAT Prep) Find the value of x.

Mathematics
1 answer:
nydimaria [60]2 years ago
3 0

Step-by-step explanation:

Both the angles will sum up to 180° as they are adjoint angles.

3x+2x= 180°

5x=180°

x=180°/5

x=36°

[Extra:- 3x=3×36=108° and 2x=2×36=72° 5x=108°+72°=180°]

Hope this helps you .

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Pls help! evaluate the sine of the real number, pls give exact answers
solong [7]

Answer:

 -\frac{\sqrt2}{2} \\  or exact is −0.70710678...

Step-by-step explanation:

Getting the point!

  1. If we look at the unit circle and we find -\frac{3\pi }{4} we see it is in the 3rd quadrant.
  2. We know that all points in the 3rd quadrant have both negative x and negative y values.
  3. We know that all radians with the base of 4 on the unit circle have the points of (\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})
  4. Because we are in the 3rd quadrant and both x and y are negative we know the point of -\frac{3\pi }{4}  is (-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})

Finding the sin!

  1. Because we know that sin is asking us for the y value
  2. We can just look at the point and find the y value!
  3. the y value is -\frac{\sqrt2}{2} \\
  4. Because this fraction does not need to be rationalized we are good!
  5. Use a calculator to find the exact value and you get -0.70710678...
  6. The final answer is  -\frac{\sqrt2}{2} \\ or exact is −0.70710678...

Hope this helps!! Please mark Brainliest!

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Elena drank 3 liters of water yesterday. Jada drank 34 times as much water as Elena. Lin drank twice as much water as Jada. Did
creativ13 [48]

Complete question :

Alana drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

Did Jada drink more or less water than Elena? Explain how you know

Did Lin drink more or less water than Elena? Explain how you know.

Answer:

Kindly check explanation

Step-by-step explanation:

Amount of water drank:

Elena = 3 litres

Jada's consumption = 3/4 times Elena's consumption,

Hence Jada's consumption = (3 * 3/4) = 9/4 litres = 2 1/4 litres

Lin drank twice as much water as Jada, Hence,

Lin's consumption = (2 * 9/4) = 18/4 litres = 4 1/2 litres

Did Jada drink more or less water than Elena?

Jada drank less than Elena.

Explain how you know:

Jada drank 2 1/4 litres compared to Elena, who drank 3 litres

Did Lin drink more or less water than Elena?

Lin drank more than Elena

Explain how you know.

Lin drank 4 1/2 litres, which is greater than the 3 litres drank by Elena.

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