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3 years ago

11

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5. Which solution can be u

sed to fill in both blanks in the table? (1, 6) (6, 1) (7, 6) (6, 7)

1 answer:

grandymaker [24]3 years ago

8 0

Answer:

x = 6 y = 7

Step-by-step explanation:

its a little complicated for the procedure if you really want just reply ill put it in comments

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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

Find the measure of the largest exterior angle

elixir [45]

Answer:

116 degrees

Step-by-step explanation:

To find the answer, we must know what the sum of exterior angles are on a given shape, which is 360 degrees.

So, let's put the equation up.

8x-21+4x-13+5x-11+6x+14=360

Let's add all the x variables together to simplify it. And also add the number together too.

8x+4x+6x+5x= 23x

(-21)+(-13)+(-11)+14 = -31

The equation we have is in its initial simplified version. Let's simplify it even more to solve.

23x-31=360

Add 31 to both sides.

23x=391

Divide 23 on both sides to find x.

391/23 = x

x= 17

Let's put the value x in each exterior angle.

A= 8(17)-21 = 115 degrees

B= 6(17)+14 = 116 degrees

C= 5(17)-11 = 74 degrees

D= 4(17)-13 = 55 degrees

From the work above, we know B is the largest exterior angle, which is 116 degrees.

<u><em>Hope this helps!</em></u>

5 0

3 years ago

What does 5 less than four times a number look like

ddd [48]

Popcorn uvdubhvubhvj

7 0

4 years ago

3m2+ 6m-31=-7 The 3m2 represents 3m squared

Debora [2.8K]

Answer:

Solving the equation:

M1 = - 4

M2 = 2

5 0

3 years ago

Write 3/9 in the lowest terms

romanna [79]

Answer:

3/9 is 1/3 because if you simply by 3, it will be 1/3 of 9

3 0

3 years ago