Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
An expression is like an equation, but without an equal sign.
Therefore, you could say...
14 stones + 6 stones
or just...
14 + 6
Answer:
100 degrees
Step-by-step explanation:
The angle x is opposite the angle that is 100 degrees.
Since they are opposite each other, they are vertical angles.
This means that they are congruent, or equal to each other.
Therefore,
x=100
x is 100 degrees
Answer:
You are given the width of the garden which is w= 8 feet
length of the garden which l= 6 feet
the width of the walkway is x
so for every side of the garden there is an x
so length overall would be 8+2x (length of garden + x one side + x other side)
and width overall would be 6 + 2x (width of garden + x of one side + x of other side)
area of rectangle is length*width
so the expression would be (8+2x)*(6+2x)
:))) smile....
I hope it is correct.
Step-by-step explanation:
The answer is 13. Or the third choice, just took the test.