Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
Answer:
2304 pi cm^3
Step-by-step explanation:
The equation is 4/3(pi)(r^3). From there, you can just plug in the given radius value and solve the equation!
Answer:
5/6 cups of sugar
Step-by-step explanation:
45 divided by 18 = 2.5
1/3 x 2.5 = 0.83
0.83 = 5/6 cups
Answer:
y=-6/5x - 1
Step-by-step explanation:
Slope intercept form is y=mx+b so first lets get it into correct order by subtracting the 6x to the other side.
6x-6x+5y=-5-6x
This gives you
5y=-6x-5
Now you need to isolate the y since the 5 is being multiplied by the variable "y" we need to divide to to separate. Divide all terms by 5.
5y/5=-6/5x+(-5)/5
This gives you your final answer:
y=-6/5x - 1
