Answer:
Step-by-step explanation:
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X is 9 or c because -26-10 is -36 and -36/-4 is 9
Answer:
80 degrees i believe
Step-by-step explanation:
if supplementary angles =180 then 180-100=80
The Length of third side of the triangle is 4x +5
What is the Triangle?
A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
How to determine the length of the third side of the Triangle?
The given parameters are:
Length of the first side = 3x+2
Length of the second side =7x-4
Perimeter of the triangle =14x+3
Now, The perimeter is the sum of the sides of lengths
So, we have
Perimeter = sum of the sides of lengths
According to the question:
14x+3 =3x+2 +7x -4 + third side
Evaluate the like terms
14x-10x = -2 -3
third side = 4x + 5
Hence, The length of the third side of the triangle is 4x+5
Learn more about of perimeter of the triangle
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Answer:
Let x = amount of 45% antifreeze
Let y = amount of 70% antifreeze
EQUATION 1: x + y = 150 (total of 150 gallons mixed)
EQUATION 2: .45x + .75y = .55(x + y)
Simplify and solve the system of equations
Multiply second equation by 100 on both sides to remove the decimals
45x + 75y = 55(x + y)
Combine like terms
45x + 75y = 55x + 55y
45x - 55x + 75y - 55y = 0
-10x + 20y = 0
Now we have the following system of equations:
x + y = 150
-10x + 20y = 0
Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x
10x + 10y = 1500
-10x + 20y = 0
------------------------------
30y = 1500
Solve for y
30y = 1500
y = 50
Since the total mixed gallons is 150, x = 150 - 50 = 100
So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze