The answer is [-4,6)
Graph both the you can easily find the answer
Answer:
23.9lbs or 24lbs
Step-by-step explanation:
This may not be correct so don't bet your first born on it
Answer
5x+y=8
Step-by-step explanation:
Okay. So I find it easiest to calculate the full area as if the shape was a rectangle, then subtracting open space. We already know that length is 100, so now we just need to find width. 50 + 25 + 50 + 25 + 50 = 200. 200 x 100 =20,000. So now we just need to find the areas of open space and subtract. Both spaces have a length of 75 and a width of 25. 25 x 75 = 1875. There were 2 spaces, and 1875 x 2 = 3,750. 20,000 - 3,750 = 16,250.
The area of the figure is 16,250 feet.
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
