<span>Arrange the first row arbitrarily: 1 2 3 4.
Then there is only one option to begin the next row: 3.
The remaining row must be 4 1 2.
This leaves no options for beginning the third row (1 and 3 are in the same column, and 2 and 4 share the diagonal).</span>
Solve for x. Show each step of the solution.
4(8 – x) + 36 = 102 – 2(3x + 24)
Solve the inequality for x. Show each step of the solution.
12x >9(2x- 3) - 15
Answer:
Slope= -1
Step-by-step explanation:
Rise over run
2 to the right 2 down = 2/-2
Simplify to -1
To look for the area of a sector of a circle, the following formula is used:
Area = ( n / 360 ) * pi * r^2
Where: n = measure of arc in degrees
pi = 3.1416
r = radius
Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:
Area = ( n / 360 <span>) * pi * r^2
</span>Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2
Therefore, the area of the sector of the circle is 25.133 sq. in.
Answer:
x = 45
Step-by-step explanation:
x + 135 = 180 {Linear pair}
x = 180 - 135 {Subtract 135 from both sides}
x = 45
