Answer:
x = 2 and y = 1.
Step-by-step explanation:
If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.
5x - 4 = 2y + 4
5x - 2y = 4+4 =8--------(1)
and 5y + 1 = 3x
3x - 5y = 1--------(2)
We multiply equation 1 by 3 and equation 2 by 5
15x - 6y = 24------(3)
15x - 25y = 5------(4)
Now we subtract equation 4 from 3
15x - 6y - (15x - 25 y) = 24-5
15x -6y -15x + 25y =19
19y = 19
y = 1
By putting y = 1 in equation 1.
5x - 2 = 8
5x = 10
x = 2
Answer:0.00011726
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The slope of this line is -1 or -1/1, and to find the perpendicular slope you find the opposite of the reciprocal, which in this case would be 1/1 which simplifies to 1.
Answer:
Variable- it doesnt really matter. Im just going to use X.
Equation- $16.35 + x = $39.75.
The solution is $23.40
Step-by-step explanation: Basically you reverse the equation so it says $39.75 - $16.35 = x . Then you just subtract.
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00