Given: w²+9=6w [0, 3, 6, 9]
We need to substitute each number for w and find which works
Sub Zero: 0²+9=6×0
Simplify: 9=0. 9 does not equal 0, so it is not 0
Sub Three: 3²+9=6×3
Simplify: 9+9=18
Addition: 18=18
The statement 18=18 is true, therefore we have our answer.
Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.
Answer:
x= 12.5
So
2x = 25
4x = 50
6x = 75
Step-by-step explanation:
line CG is 180 degrees, so 12x + 30 = 180
x = 12.5
This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)
Answer:
3.897 
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
