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lbvjy [14]
3 years ago
13

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

Mathematics
1 answer:
mylen [45]3 years ago
6 0
In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.
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2x + y = -3<br> What’s the solution?
Ede4ka [16]
Y= -3 - 2x because all you have to do is move the 2x over to have an x and a y on different sides, and in order to do that you do the opposite so since it is a positive 2, you subtract it and make it negative
7 0
3 years ago
Read 2 more answers
Given that the value of x is between 0 and 360 degrees (0 and 360
Brums [2.3K]

Answer:

  • 150° and 210°
  • 0

Step-by-step explanation:

It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.

__

<h3>20.</h3>

You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.

Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are

 150° and 210°

__

<h3>Bonus</h3>

  You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...

  √2/2 + (-√2/2) = 0

_____

<em>Additional comments</em>

Your calculator can help you with both of these problems.

The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).

6 0
2 years ago
Plz help: The density of water is 1.0g/ml. Which of the following will float when dropped in water?
yarga [219]

Answer:

Hey I think that it's a cube of sodium or ice

Step-by-step explanation:

Hope it helps! :)

*GraceRosalia*

6 0
2 years ago
Read 2 more answers
The International Average Salary Income Database provides a comparison of average salaries for various professions. The data are
Tamiku [17]

Solution :

The monthly average salary and the standard deviation of the salaries of five different countries are provided. A person is interested in the relationship between the job performance, job satisfaction and the job compensation of the five different countries and try to compare them.

She calculated the z scores for accounting that makes $ ,500 per month as :

Country              z-score for salary $ 1,500

Brazil                       $\frac{1500-1351}{337.80} = 0.44$

US                          $\frac{1500-3370}{1011} = -1.85$

China                     $\frac{1500-165}{24.80} = 53.83$

Slovakia                 $\frac{1500-646}{96.80} = 8.82$

Kuwait                    $\frac{1500-2697}{808.20} = -1.48$

From above it is clear that an account from China getting  z score of 53.83 will ne more pleased than other countries because the salary of $1,500 in one month for this particular country corresponds to the highest z score.

7 0
3 years ago
Giving brainlist to whoever answers
SpyIntel [72]

Answer:

144m2

Step-by-step explanation:

I think very carefully on my brain is it cirrect?

3 0
3 years ago
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