All categories

3 years ago

The sum of the interior angles of a quadrilateral equals. 180 270 360 540

2 answers:

7 0

The sum of the interior angles in any given quadrilateral is always going to be 360.

This means each angle inside the quadrilateral added up with always equal 360 degrees.

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)

bezimeni [28]3 years ago

3 0

Answer:

The sum of the interior angles of a quadrilateral equals _360° 

C is correct.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral equals ______

The quadrilateral has four sides and four angles.

First we draw a diagonal of quadrilateral and it makes two triangle.

Sum of angles of triangle is 180° (Angle sum property of triangle)

A quadrilateral form by two triangle

Sum of interior angle of quadrilateral = 180° + 180°

= 360°

The sum of the interior angles of a quadrilateral equals _360° 

We have a general formula sum of interior angles of polygon.

Sum of angles of polygon having n sides = (n-2)180°

For quadrilateral, n = 4

Sum of angles of quadrilateral = (4-2)180°

= 360°

You might be interested in

What is the remainder in the synthetic division problem below?

maks197457 [2]

Answer:

im sure of my answer but three letter A C D

8 0

2 years ago

A book claims that more hockey players are born in January through March than in October through December. The following data sh

astra-53 [7]

Answer:

$\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295$

Now we can calculate the degrees of freedom for the statistic given by:

$df=(categories-1)=4-1=3$

And we can calculate the p value given by:

$p_v = P(\chi^2_{3} >18.295)=0.00038$

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the year

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference of birthdates distributed throughout the year

H1: There is a difference between birthdates distributed throughout the year

The level of significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{total}{4}$

And replacing we got:

$E_{1} =\frac{67+56+30+37}{4}=47.5$

And now we can calculate the statistic:

$\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295$

Now we can calculate the degrees of freedom for the statistic given by:

$df=(categories-1)=4-1=3$

And we can calculate the p value given by:

$p_v = P(\chi^2_{3} >18.295)=0.00038$

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the year

3 0

4 years ago

Determine the slope of the line below. A.3 B.-1/3 C.1/3 D.-3

Veronika [31]

The answer is A. 3
If you please, mark brainliest ^^

3 0

3 years ago

What is the solution to the expression below? 3 + 11 x 4

STALIN [3.7K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Express the product of 2x^2+6x-8 and x+3 in standard form

Radda [10]

The answer is 2x³ + 12x² + 10x - 24

(2x² + 6x - 8)(x + 3) = x(2x² + 6x - 8) + 3(2x² + 6x - 8) =
= 2x³ + 6x² - 8x + 6x² + 18x - 24 =
= 2x³ + (6x² + 6x²) + (-8x + 18x) - 24 =
= 2x³ + 12x² + 10x - 24

7 0

3 years ago