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4 years ago

True or false Exterior angles are the angles created when the sides of the triangle are shortened.

Mathematics

1 answer:

Naddika [18.5K]4 years ago

8 0

Answer:

The statement is false. Exterior angles are the angles created when the sides of the triangle are extended

Step-by-step explanation:

In order to find the exterior angle of a polygon, the side of the polygon is extended to go past the vertex of the polygon to form an angle adjacent and supplementary to the the interior angle of the polygon at the vertex of the polygon where the exterior angle is formed.

The sum of the exterior angle and the adjacent interior angle is equal to 180°

The exterior angle can also be described as being formed by one side of a polygon and an extension of the adjacent side to previous side of the same polygon and it can also be referred to as a turning or an external angle.

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Estimate the solution to the system of equations.

klemol [59]

Answer:

x=1/2; y=-6

Step-by-step explanation:

2x-2=-2x-5

4x=2

x=1/2

y=-1-5

y=-6

8 0

3 years ago

A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre

Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

Two groups of 22 patients, hence, the standard errors are:

$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{25 - 0}{11.14}$

$t = 2.2438$

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0

3 years ago

Determine the product

astraxan [27]

= -10x^2 - 6xy + 6xz

hope it helps

6 0

3 years ago

Read 2 more answers

It is a well-known fact that Dr. Barnes rides a skateboard, sometimes even on campus. Suppose that Dr. Barnes selects a skateboa

Genrish500 [490]

Answer:

75%.

Step-by-step explanation:

In total, there are 3 gnarly boards in the first shop and 1 gnarly board in the second. We know that he has selected one gnarly board out of the 3 + 1 = 4 existing boards.

The probability the board came from the first shop is 3 / 4 = 0.75 = 75%.

Hope this helps!

8 0

3 years ago

×^2+4x-5/×^2+7x+1 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%2B%204x%20%2B%20-%205%20%7D%20%20%20

Serjik [45]

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(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)

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4x3 – 4x2 – 7x + 12x2 – 12x – 21

4x3 – 4x2 + 12x2 – 7x – 12x – 21

4x3 + 8x2 – 19x – 21

6 0

3 years ago