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podryga [215]
3 years ago
5

EASY, ASAP!

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

Number 1: x = 5

Number 2: y = 3, x = 1

Number 3: x = 40

Step-by-step explanation:

For Number 1 you have to keep in mind that quadrilaterals have an interior angle measurement of 360°.

With that in mind, all the angles must add up to 360° (duh).

(20x - 16) + (81) + (16x + 10) + (15x + 30)

20x - 16 + 81 + 16x + 10 + 15x + 30 = 360

That's a bloody mess! We should really combine like terms.

20x <em>- 16 </em>+ <em>81 </em>+ 16x +<em> 10</em> + 15x + <em>30</em>

51x + 105 = 360

That looks a lot better, basic algebra from here, where we droppin' bois?

51x = 255

x = 5

--------------------------------------------------

This one's real easy.

In a parallelogram, the sides opposite from each other are equal, therefore:

2y + 2 = 4y - 4

and

x + 6 = 7x

Both are <em>very </em>easy to solve, here:

2y + 2 = 4y - 4

2y + 6 = 4y

6 = 2y

3 = y

<em>Easy!</em>

x + 6 = 7x

6 = 6x

1 = x

<em>Are you kidding me? This is easy stuff, kid.</em>

--------------------------------------------------

In a Rhombus, in case you didn't know, its diagonals (the lines connecting points diagonal to each other) are ALWAYS perpendicular to one another (intersect at 90°) which means:

2x + 10 = 90

2x = 80

x = 40

--------------------------------------------------

That will be all, ya boi Keith.

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