.45 Answer answer answer answer
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:
flour $42 , bag of sugar $58
Step-by-step explanation:
let f represent flour and s represent sugar, then
7f + 5s = 584 → (1)
5f + 3s = 384 → (2)
Multiplying (1) by 3 and (2) by - 5 and adding will eliminate s
21f + 15s = 1752 → (3)
- 25f - 15s = - 1920 → (4)
Add (3) and (4) term by term to eliminate s , that is
- 4f = - 168 ( divide both sides by - 4 )
f = 42
Substitute f = 42 into either of the 2 equations and solve for s
Substituting into (1)
7(42) + 5s = 584
294 + 5s = 584 ( subtract 294 from both sides )
5s = 290 ( divide both sides by 5 )
s = 58
The cost of a bag of flour is $42 and cost of sugar is $58
Use a portion of the circumference: pi x 2 x r x angle at centre =8xpix72/360 =8pi/5
Answer:
yes u r correct
Hope This Helps! Have A Nice Day!!
