Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x
40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
Answer:
Step-by-step explanation:
m∠ JHI + m∠GHJ = 180 { linear pair}
m∠JHI + 90 = 180
m∠JHI = 180 -90 = 90
In ΔGHJ and ΔJHI,
GJ = IJ { given}
JH = JH {common}
m∠ JHI = m∠GHJ { above proved}
ΔGHJ ≅ ΔJHI { Angle Side Side congruence}
Answer:
20
Step-by-step explanation:
2×10=20
Or...
10+10=20
The point (a,b) is (5,7) . Therefore, the equation of the line is y=7
Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
