Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
(f+g)(x) = f(x) + g(x) = (|x| + 9 ) + (-6) =
|x| + 9 - 6 = |x| + 3
Answer is |x| + 3
Answer:
Just did it, had a good guess.
Step-by-step explanation:
Answer:
volume = 13500 
Step-by-step explanation:
For a given pyramid, its volume can be determined by:
volume of pyramid = 
Where: l is the base length, w is the base width and h id the height of the pyramid.
For the given question, l 30 cm, w = 30 cm and h = 45 cm.
So that,
volume = 
= 
= 13500
volume = 13500
The volume of the pyramid is 13500 .
Answer:
You haven't given a picture of the graph dear.
The point (-3,-2) lies in the third quadrant.
