Answer:
2. Given
3. Definition of supplementary angles
4. Substitution Property
5 Subtraction Property
Step-by-step explanation:
2. Given
We are given in the statement that m<1 = 112°
3. Definition of supplementary angles
Supplementary angles definition: Two angles are supplementary if there sum is equal to 180°. That statement states:
m<1 + m<2 = 180°
4. Substitution Property
We put the value of m<1 = 112° in the equation. This is substitution property.
5. Subtraction Property
To find the value of m<2 we subtract 112 from both sides of the equation.
This is subtraction property.
Answer:
all real numbers such as 0<y<40
Step-by-step explanation:
as the tub is draining water, it will never exceed original amount of 40. the lowest amount of water you can have is 0, never below 0
Answer:
x = -1
Step-by-step explanation:
x = x2 -5x = 3
-5x + 2x = -3x
x = 1
(-1)2 - 5(-1) = 3
-2 + 5 = 3
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
F(x) = x²-81
g(x) = (x-9) -1(x+9)
= (x-9) -x-9
g(x) • f(x)
= [x²-81 ] • [ (x-9) -x-9 ]
=[ x²-81 ] • [ (x-x -9-9) ]
= [ x²-81 ] •[0-18]
= [ x²-81] •[ -18]
= -18•x² +-81•-18
= -18x²+1458
