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Aleks04 [339]
3 years ago
13

Find the value of x. please show your work

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:x = 60

Step-by-step explanation:

The given triangle is an equilateral triangle. This is so because all the angles are equal. This also means that all the sides are equal.

The sum of the angles on a straight line is 180 degrees. Assuming each angle of the equilateral triangle is y degrees, it means that

y + 2x = 180

y = 180 - 2x

The sum of the angles in a triangle is 180 degrees. It means that

y + y + y = 3y = 180

This means that

3(180 - 2x) = 180

540 - 6x = 180

6x = 540 - 180 = 360

x = 360/60 = 60

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Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variabi
wolverine [178]

Answer:

As the sample size increases, the variability decreases.

Step-by-step explanation:

Variability is the measure of actual entries from mean.  The less the deviations the less would be the variance.

For a sample  of size n, we have by central limit theorem the mean of sample follows a normal distribution for random samples of large size.

X bar will have std deviation as \frac{s}{\sqrt{n} }

where s is the square root of variance of sample

Thus we find the variability denoted by std deviation is inversely proportion of square root of sample size.

Hence as sample size increases, std error decreases.

As the sample size increases, the variability decreases.

7 0
3 years ago
How many triangles can be formed with segments measuring 4. 7 m, 1. 6 m, and 2. 9 m? none one more than one.
Svet_ta [14]

The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.

<h3>What is the triangle?</h3>

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.

The condition will be

1.6 + 2.9 \ngtr  4.7

We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.

Hence, none of the triangles is formed.

Thus, option A is correct.

More about the triangle link is given below.

brainly.com/question/25813512

4 0
2 years ago
Solve this system of equations by graphing. First graph the equations, and then type the solution.
tiny-mole [99]
Here the graph and what else you need

7 0
3 years ago
One more then im done, ty ^^
OleMash [197]

Answer:

5

Step-by-step explanation:

5 0
2 years ago
Verify the following:<br> 15x(6+(-2) ) = (15x6) + 15x (-2)
NeX [460]

Answer:

-True-

Explanation:

the left side

60

is equal to the right side

60

, which means that the given statement is always true.

6 0
3 years ago
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