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IRINA_888 [86]
3 years ago
15

Determine if the statement "The sum of the interior angles of a 1uadrilateral is 360 degrees." is always, sometimes, or never tr

ue.
Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

Always

Step-by-step explanation:

a 'quadrilateral' is a 4-sided polygon and all 4-sides polygons have interior angles whose sum is 360 degrees

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I NEED HELP QUICK!
ivanzaharov [21]
<h2><u>Answers:</u></h2>

a. What properties do these shapes have in common?

The square, the rectangle and the rhombus are in the <u>quadrilaterals</u> group (<u>shapes or figures with four sides</u>) and in the <u>parallelogram</u> sub-group (shapes or figures with four sides in which <u>opposite sides are parallel</u>).  

In other words,

<h2>what these three shapes have in common is that they are Parallelograms.</h2>

Hence, they have the same <u>properties of a parallelogram</u>, such as:

1. Opposite sides parallel and with the same length

2. Opposite angles are congruent (<u>equal angles</u>, or angles with the same value)

3. Consecutive angles are supplementary (<u>angles that add up to 180°</u>)

Also the general <u>properties of a quadrilateral</u>:

1. It has four sides

2. It is a 2-dimensions shape

3. It is a closed figure

4. It has four corners (<u>called vertices</u>), and four interior angles, as well.

5. The sum of their four interior angles is 360º

b. How are these two shapes different?

In this case we are going to talk about <em>the differences between the Rectangle and the Rhombus</em>, because the square is a special case of both.

Now, the <u>differences between the Rectangle and the Rhombus</u> are:

1. In the Rectangle only the opposite sides are of the same length, while in the rhombus all of its sides are of the same length.

2. If you trace two diagonal lines inside the Rectangle, they will have the same length. But if you trace two diagonal lines inside the Rhombus they will have different lengths.

3. When the two diagonals in the Rectangle are intersected, they are not perpendicular, but in the case of the Rhombus they are perpendicular (both lines form an angle of 90º)

4. All the angles of the rectangle have the same value: 90º. But in the case of the rhombus only the opposite angles have the same value.

c. What conclusion can you make about the square, rhombus and rectangle?

These three shapes belong to the parallelogram group (which is also part of the quadrilaterals group). They have a lot of things in common for being quadrilaterals, with some differences related to their own shape.

The square is a special case of these three figures, is a rhombus (four equal sides) and a rectangle (four equal 90º angles), as well.


5 0
3 years ago
Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou
tatuchka [14]
1 lemon to 2 waters will be proportional to what he Brandon needs so:

1 lemon / 2 water = x lemon / 12 water

Multiply by 12
And you get (1/2)*12 which is 6=x lemons

He needs 6 cups of lemons
5 0
4 years ago
Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?
Annette [7]
We're going to assume that x = # of days.
Plug 12 in as x:
4 × 12 = 48
48 + 6 = 54
They produced 54 boats in 12 days.
7 0
3 years ago
Read 2 more answers
Jillian ran 40 miles in one week. Her friend Lacy ran 5/8 the distance that Jillian ran . How many miles did Lacy run ?
Korvikt [17]
Lacy ran 25 miles.

40/8=5  5*5=25
5 0
3 years ago
Find the slope and the x and y-intercept of the equation 2x-3y=12
Maslowich
X=9
Y=2 i think it’s the answer
4 0
3 years ago
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