Answer:
Given: 
and q is a transversal.
Alternative Interior Angle states that a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal are equal.
By alternative interior angle;
Definition of Congruent angles are angles that have the same degree of measurement.
Therefore, 
[By definition of Congruent] .....[1]
Linear Pair states that a pair of adjacent angles formed when two lines are intersect.
therefore, 
and 
are a linear pair. [by definition of linear pair]
Two angles of linear pairs are always supplementary , which means their measure are add up to 180 degree.
By the definition of supplementary angles, 
.....[2]
Substitute equation [1] in [2] we get,
By the definition of supplementary angles,
is supplementary to 
Hence proved!
Answer:
156.63 ft squared
Step-by-step explanation:
The bedroom is a rectangle.
Area of a rectangle- A=length times width
multiply the two numbers and you will get 156.63.
Be sure to add the units (feet).
Answer:
Step-by-step explanation:
This is a really nice line that goes through a lot of grid points (where the lines intersect).
One easy way to find the slope is the phrase "rise over run." "Rise" is the name for vertical motion from point-to-point. "Run" is the name for horizontal motion from point-to-point.
Pick two easy points on the line, say (0, 0) and (1, -1).
If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.
The run is 1 -- because you went RIGHT 1 unit.
The slope is -1.
Cool fact: You'll get the same value if you use any two points on the line.
If you are given the value of a variable, all you have to do is substitute the variable for the value. For instance, if you are given an expression 2x + 5y, where x = 4 and y = 2, you evaluate the expression by substituting x with 4 and y with 2. That gives you 2(4) + 5(2) = 8 + 10 = 18
I hope this helps. Please make my answer the brainliest if you are satisfied with it.
Answer:
Step-by-step explanation:
x+y≥-4
consider x+y=-4
when x=0,y=-4
point is (0,-4)
when y=0,x=-4
point is (-4,0)
draw a line through (0,-4) and (-4,0)
put x=0,y=0
0+0≥-4
which is true.
Hence origin lies on the graph.
graph is on and right of the line.
