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3 years ago

Sum of interior angles in a polygon is 3240. How many sides are in the polygon?

Mathematics

1 answer:

Aleks04 [339]3 years ago

7 0

Answer:

Step-by-step explanation:

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Use substitution. <br> 2x +3y = -5<br> 4x+3y= 17

Goshia [24]

Answer:

Step-by-step explanation:

-2x -3y = 5

4x + 3y = 17

2x = 22

x = 11

4(2) + 3y = 17

8 + 3y = 17

3y = 9

y = 3

(11,3)

3 0

3 years ago

Read 2 more answers

A fully loaded and fueled spacecraft can weigh close to 4.8 million pounds. What is this weight converted to tons?

nirvana33 [79]

Answer:

2,400 tons

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

(05.03 LC)

never [62]

Answer:

The correct answer is x = -5

Step-by-step explanation:

All vertical lines can we written in terms of x = (a number). You can find this number in the ordered pair under the x-coordinate. In this case it is -5.

8 0

3 years ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

For -180°<θ<0 , which of the primary trigonometric functions may have positive values?

Jobisdone [24]

Answer:

cos theta = adj / hyp is positive (+/+)

Step-by-step explanation:

In this open interval, the hypotenuse (radius) is always positive, whereas the adjacent side is positive and the opposite side negative.

in this interval:

sin theta = opp / hyp is neg (-/+)

cos theta = adj / hyp is positive (+/+)

tan theta = opp / adj = (-/+) : negative

6 0

3 years ago