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matrenka [14]
3 years ago
10

Help me fast!!!! :) Answer my other questions plz

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

x = 20°

Step-by-step explanation:

Angles on a straight line = 180°

Therefore,

3x° + 80° + 2x° = 180°

Add like terms

5x + 80 = 180

Subtract 80 from each side

5x + 80 - 80 = 180 - 80

5x = 100

Divide both sides by 5

5x/5 = 100/5

x = 20°

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Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
Harrizon [31]
<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

5 0
3 years ago
For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the
goblinko [34]

Answer:

  D.  The independent variable is the number of ticket price increases, and the dependent variable is the ticket sales.

Step-by-step explanation:

The wording, "the table shows A <em>with respect to</em> B" means that "B" is the independent variable. Here, "B" is "the number of times they have increased the price of the ticket." That is ...

the independent variable is the number of ticket price increases

5 0
3 years ago
What is the factored form of x^2 - 4x - 5?
ser-zykov [4K]

we are given

x^2-4x-5

we can use formula

x^2-(a+b)x+ab=(x-a)(x-b)

so, we have

a+b=4

ab=-5

now, we can solve for a and b

and we get

a=5, b=-1

now, we can plug it in formula

x^2-4x-5=(x-5)(x+1) ............Answer

4 0
3 years ago
What is the equation for x=-3 and y=-7
Juli2301 [7.4K]

Answer:

-7 = -3x + b

Step-by-step explanation:

i'm guessing because you have not provided a visual so i can not determine the B.

8 0
3 years ago
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs.
dexar [7]

Answer:

the answer is the first one

Step-by-step explanation:

for reasons

6 0
2 years ago
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