Answer:

Step-by-step explanation:
Given
and 
Required
The relationship between them
and 
From the question, we understand that
and
are supplementary
Supplementary angles add up to 180.
So, the relationship between
and
is:

Answer:
Formula for Circumference of a Circle
Circumference is given by the formula C = πd where π = 3.14 and d is the diameter of the circle. Circumference is given by the formula C = 2πr where π = 3.14 and r is the radius of the circle.
Hope it's helpful to you
Answer:
x = 24.
r
0.
Step-by-step explanation:
2. The given equation is:

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.
b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.
c) We have the equation:

Multiplying throughout by 6, we get:




Therefore, the solution of the equation is 24.
3. The given equation is: 
To solve for y:
We can rearrange the equation as:


or,
Note that we have to impose a condition on variable
. It would be that
can never be zero. i.e.,
. Otherwise, the value of
would be undefined.
Answer:
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Step-by-step explanation:
pls it will be a bro moment
There are many systems of equation that will satisfy the requirement for Part A.
an example is y≤(1/4)x-3 and y≥(-1/2)x-6
y≥(-1/2)x-6 goes through the point (0,-6) and (-2, -5), the shaded area is above the line. all the points fall in the shaded area, but
y≤(1/4)x-3 goes through the points (0,-3) and (4,-2), the shaded area is below the line, only A and E are in the shaded area.
only A and E satisfy both inequality, in the overlapping shaded area.
Part B. to verify, put the coordinates of A (-3,-4) and E(5,-4) in both inequalities to see if they will make the inequalities true.
for y≤(1/4)x-3: -4≤(1/4)(-3)-3
-4≤-3&3/4 This is valid.
For y≥(-1/2)x-6: -4≥(-1/2)(-3)-6
-4≥-4&1/3 this is valid as well. So Yes, A satisfies both inequalities.
Do the same for point E (5,-4)
Part C: the line y<-2x+4 is a dotted line going through (0,4) and (-2,0)
the shaded area is below the line
farms A, B, and D are in this shaded area.