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
Answer:
-17
Step-by-step explanation:
Every number x goes up, the f(x) goes up by 9. -8+9=1 and 1+9=10. Therefore if the number goes down, you subtract. -8-9=-17
Answer:
Step-by-step explanation:
The angles between the parallel sides add up to 180 degrees.
So 180-70 = 110 degrees.
The next larger whole number is 638 .
The next smaller whole number is 637 .
637.892 is closer to 638 than it is to 637 .
The nearest whole number is 638 .
Answer:
241 tons
Step-by-step explanation:
312-170=142
142÷2=71
170+71=241
241+71=312
train B weighs 241 tons
