Answer:
x = 30.66°
Step-by-step explanation:
The sum of the interior angles of a hexagon is 720°
Each angles are x^0, (5x - 103); (2x + 60), (7x - 31), (6x -6), and (9x - 100),
we add all these angles together
x^0 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100) = 720
x^0 = 1
1 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100)
1 + 5x - 103 +2x + 60 + 7x -31 + 6x - 6 + 9x - 100 = 720
1 - 103 + 60 - 31 - 6 - 100 + 5x + 2x + 7x + 6x + 9x = 720
1 - 180 + 29x = 720
-179 + 29x = 720
29x = 720 + 179 = 889
x = 889/29 = 30.655 ≅ 30.66°
Step-by-step explanation:
Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.
The sum of the digits is 8:
x + y = 8
If 8 is subtracted from the number, the digits switch place.
10x + y − 8 = 10y + x
Simplify the second equation:
9x − 8 = 9y
Substitute from the first equation.
y = 8 − x
9x − 8 = 9 (8 − x)
9x − 8 = 72 − 9x
18x = 80
x = 4.444
There's a problem. x isn't an integer. Are you sure you copied the problem correctly? Perhaps you meant if 18 is subtracted from the number, the digits switch place.
9x − 18 = 9 (8 − x)
9x − 18 = 72 − 9x
18x = 90
x = 5
y = 8 − x
y = 3
So the number is 53.
Answer:
0.6604 m
Step-by-step explanation:
The convertion from inches to meters is 1 inch= 0.024 meters, so:
26 inches = 26 inch* 0.024 meters/inch = 0.6604 meters
Good luck!
Answer:
x= 1
y= -3
Step-by-step explanation:
multiply them to get common factor for y or x:
3(7y+10x=-11)
10(4y-3x=-15)
21y+30x=-33
40y-30x=-150 <em>x's cancel out so solve for y</em>
61y = -183
/61 /61
y = -3 <em> insert y into either equation and solve for x</em>
<em />
<em>4(-3) -3x=-15</em>
<em>x = 1</em>
