Answer:
x = 30, z = 45, y = 105
Step-by-step explanation:
The lines are straight, so:
x = 30
z = 45
y = 180 - (45 + 30)
So there
Answer:
{x,y}={21,41}
Step-by-step explanation:
Step by Step Solution:
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System of Linear Equations entered :
[1] 4x - 2y = 2
[2] 3x - 2y = -19
Graphic Representation of the Equations :
-2y + 4x = 2 -2y + 3x = -19
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 2y - 19
[2] x = 2y/3 - 19/3
// Plug this in for variable x in equation [1]
[1] 4•(2y/3-19/3) - 2y = 2
[1] 2y/3 = 82/3
[1] 2y = 82
// Solve equation [1] for the variable y
[1] 2y = 82
[1] y = 41
// By now we know this much :
x = 2y/3-19/3
y = 41
// Use the y value to solve for x
x = (2/3)(41)-19/3 = 21
Solution :
{x,y} = {21,41}
Pentagons and hexagons can be irregular.
Anything that does not have congruent sides is irregular.
Hope that helped :))
Answer:
The value of k will be -4
Step-by-step explanation:
We have given polynomial 
It is given that x+1 is factor of the polynomial
And we have to find the value of k
As x+1 is the factor of polynomial so x+1 = 0 that is x = -1 will be the root of polynomial
So if we put x = -1 in the polynomial then the p(-1) will be zero
So 

So the value of k will be -4
Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is : 
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation

⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation

⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation

⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.