Parallelogram pqrs is shown. find the m

Someone please help I don’t understand this please

sdas [7]

The fraction of the image in blue with respect to the <em>entire</em> hexagon is $\frac{1}{3}$ .

<h3>Estimation of the ratio of the shaded region area to the entire area</h3>

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

$A_{1} = A_{2}$ (1)

Where:

$A_{1}$ - Area of a type-1 triangle.
$A_{2}$ - Area of a type-2 triangle.

The formulae for the area of the shaded region ( $A_{s}$ ) and the <em>entire</em> hexagon ( $A_{h}$ ) are, respectively:

<h3>Shaded region</h3>

$A_{s} = 2\cdot A_{1} + 4\cdot A_{2}$ (2)

<h3>Entire hexagon</h3>

$A_{h} = 8\cdot A_{1} + 10\cdot A_{2}$ (3)

And the fraction of the image in blue is:

$\frac{A_{s}}{A_{h}} = \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}}$

$\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A}$

$\frac{A_{s}}{A_{h}} = \frac{1}{3}$

The fraction of the image in blue with respect to the <em>entire</em> hexagon is $\frac{1}{3}$ . $\blacksquare$

To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236

6 0

3 years ago

How do i write improper fractions as mixed numbers?<br> Explain with examples

Lynna [10]

Answer:

You have to multiply the whole number by the denominator and then add the answer you get with the numerator.

Step-by-step explanation:

For example, the fraction 10 $\frac{3}{5}$ is a mixed number, right? So then you multiply 10x3=30. Then you add 30+5=35. So then the answer would be $\frac{35}{5}$ .

Hope this helps! Please give brainlist!

6 0

2 years ago

Writing: Describe how you would use the point-slope form to write the

marin [14]

Answer:

Step-by-step explanation:

1. find the slope (m)

m=y2-y1/x2-x1

m=6-3/-1-2

m=3/-3

m=-1

2. y-y1=m(x-x1)

y-3=-1(x-2)

y-3=-1x+2

y=-1x+2+3

y=-1x+5

7 0

3 years ago

Last week, a GameStop store sold some $43 games and some $30 games for a total of

Vesnalui [34]

Answer: The total number of games sold by the GameStop is 14. That is 5 games of $43 and 9 games of $30.

Step-by-step explanation:

Considering some games of $43 were sold and others for $30 were also sold in arriving at the total of $485 sold.

If 5 games of $43 were sold it gives $215.

To get the difference, you subtract the amount sold for $43 from the total.

$485 - $215 = $270

To arrive at how many $30 games were sold;

$270 ÷ $30 per game = 9 games

Therefore, 5 games of $43 combined with 9 games of $30 gives a total of 14 games.

6 0

3 years ago

∠3 and ∠4 are supplementary angles. If ∠3 measures 50°, what is the measure of ∠4

Sidana [21]

Answer:

130

Step-by-step explanation:

Supplementary angles are angles that are equal to 180 degree so if one is 50 degrees then the other must be added to it and get 180

180= 50 + ∠4

-50 -50

130=∠4

6 0

3 years ago