Let's see what to do buddy...
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The sum of the angles of each n-sided figure is found in the following equation :
![(n - 2) \times 180](https://tex.z-dn.net/?f=%28n%20-%202%29%20%5Ctimes%20180%20)
The question's figure is 5-sindes figure
so the sum the angles equal :
![(5 - 2) \times 180 = 3 \times 180 = 540 \\](https://tex.z-dn.net/?f=%285%20-%202%29%20%5Ctimes%20180%20%3D%203%20%5Ctimes%20180%20%3D%20540%20%5C%5C%20)
So we have :
![90 + 107 + 144 + 138 + x = 54 0 \\](https://tex.z-dn.net/?f=90%20%2B%20107%20%2B%20144%20%2B%20138%20%2B%20x%20%3D%2054%200%20%5C%5C%20)
![479 + x = 540](https://tex.z-dn.net/?f=479%20%2B%20x%20%3D%20540)
Subtract the sides of the equation minus 479
![x = 540 - 479](https://tex.z-dn.net/?f=x%20%3D%20540%20-%20479)
![x = 61](https://tex.z-dn.net/?f=x%20%3D%2061)
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
![bx - ay = 0](https://tex.z-dn.net/?f=bx%20-%20ay%20%3D%200)
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
![ax + by = a^2 + b^2](https://tex.z-dn.net/?f=ax%20%2B%20by%20%3D%20a%5E2%20%2B%20b%5E2)
![ax + by -( a^2 + b^2) = 0](https://tex.z-dn.net/?f=ax%20%2B%20by%20-%28%20a%5E2%20%2B%20b%5E2%29%20%3D%200)
That's standard form; let's plug in the numbers:
![4 x - 4 y - 32 = 0](https://tex.z-dn.net/?f=4%20x%20-%204%20y%20-%2032%20%3D%200%20)
![x - y - 8 = 0](https://tex.z-dn.net/?f=%20x%20-%20y%20-%208%20%3D%200)
Remember, (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
so
walls per gallon
4/5 wall per 5/8 gallon
(4/5)/(5/8)
(4/5)(8/5)
32/25
1.28
the unit rate is 1.28 walls per gallon
Answer:
Coefficient
Step-by-step explanation:
-Usually a combination of variables and constants are multiplied to get a product.
-The constant or number part in the multiplication process is called the Coefficient
Answer:
x=6
Step-by-step explanation:
We can write this as a ratio
x 9
---- = --------
10 15
Using cross products
15x = 10*9
15x = 90
Divide by 15
15x/15 = 90/15
x =6