Since the angles two and four are vertical they have to equal each other so you put that in an equation and solve for x:
7x+7=140
-7 -7
7x=133 divide both sides by 7
x=19
Since angles 3 and 4 have to equal 180 to make a straight line they have to add together and equal 180 and solve for y:
5y+140=180
-140 -140
5y=40 divide both sides by 5
y=8
So your answer is x=19 and y=8
Answer: y=3x-14
Step-by-step explanation:
Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
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To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
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These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
I've got to tell you what it was about this question that made me stop,
look it over, play with it, and try to answer it: It was the size of the piece
of land involved . . . 2¹⁵ square miles. I had a funny feeling about that piece
of land, so I went and looked it up, and sure enough, it was just as I suspected.
Let me put it this way:
-- South Carolina
-- West Virginia
-- Maryland
-- Hawaii
-- Massachusetts
-- Vermont
-- New Hampshire
-- New Jersey
-- Connecticut
-- Delaware
-- Rhode Island
Not one of these 11 states has that much land inside its borders.
<span>
<span><span>
-- Panama
-- Ireland
-- Costa Rica
-- Israel
-- Denmark
-- Netherlands
-- Switzerland
-- Taiwan
-- Belgium
-- Haiti
</span></span></span>Not one of these 10 countries has that much land in it.
And ALL OF THESE PUT TOGETHER don't add up to that much land:
-- Fiji
-- Kuwait
-- Bahamas
-- Jamaica
-- Lebanon
-- Puerto Rico
But that's what the question says, so that's the way to work it.
It's only math.
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How many times does 8³ fit into 2¹⁵ ?
We need to evaluate 2¹⁵ / 8³ .
If the bases were the same, then we could simply subtract the exponents.
Notice that '8' is the same thing as 2³ .
So 8³ = (2³)³ = 2⁹ .
Now the big fraction can be written as 2¹⁵ / 2⁹ and that's <em>2⁶ </em>.
And there you are.
If you start out with 2¹⁵ square miles of land, and start giving away pieces
of 8³ square miles (slightly more land than Hong Kong) to everyone who
walks by, then by the time only 2 million people have walked by, you'll have
nothing left.
But you'll have the last laugh ! Because you can't move a piece of land,
so all those people will have to live next to each other !
As for the second part of the question (<span>Compute the actual number of pieces.),
I must confess that either it's a bogus question or else I just don't get it.
Since the dimensions of the original rectangle (roughly the same area as Belgium)
are not stated, and the pieces of 8³ square miles aren't even described as being
any particular shape, I don't really see any reason why the chopping up can't be
done in such a way that it results in exactly 2⁶ pieces. </span>
In conclusion, I'll offer the wry observation that the only tiny number associated
with this problem is the 5 points.
1 3/5 is the awncer you are looking for because 4/5 is equal to .8 so .8 times 2 is 1.6 or 1 6/10 it simplified to 1 3/5