Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
Answer:
There are 30 ounce of green paint 18 ounces blue paint was needed.
Step-by-step explanation:
Given that,
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.
Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.
According to the problem,
2x+3x=30
⇒5x=30

⇒ x=6
The amount of blue paint is = 2×6
=12 ounces
The amount yellow paint is = (3×6)
= 18 ounces
There are 30 ounce of green paint 18 ounces blue paint was needed.
The answer should be a) (p+q)*r
we know that
If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation
we have the equation

Let's verify all the cases to determine the solution to the problem.
<u>case A)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case B)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case C)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
<u>case D)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
therefore
<u>the answer is </u>


Answer:
x=-1/2+y/2
Step-by-step explanation: