Since vertical angles are equal you can put the same value to the opposite angles. Also, you were given a supplementary angle which are two angles added to 180 degrees. Of those 180 you were given 100. The angle next to the 100 degrees has a value of 80. With all this, you add all the angles together and put it equal to 180 which is what the angles of a triangle add up to. Then you combine like terms to get the value of X and just replace it for x. After that you just multiply and then add.
Answer:
20.25 lbs
Step-by-step explanation:
Multiply 27 by 3/4 or .75 to equal 20.25.
Answer:
14, 15, 16
Step-by-step explanation:
Let integers equal:
x, x + 1, x + 2
2x = 12 + (x + 2)
2x = 12 + x + 2
2x = 14 + x
2x - x = 14
x = 14
x = 14
x + 1 = 14 + 1 = 15
x + 2 = 14 + 2 = 16
Answer:
Step-by-step explanation:
The equation is 7(2x-1) - 11 = 6 + 6x
The equation is a linear equation because the highest power of x is one.
x is the variable and the numbers not containing x are constants
To solve the equation,
First step is to distribute. This involves opening up the bracket.
7(2x-1) - 11 = 6 + 6x will become
7×2x - 7×1 - 11 = 6 + 6x
14x - 7 - 11 = 6 + 6x
Next step is to combine like terms
14x -18 = 6 + 6x
Next step is to move the variable terms to the left hand side of the equation and move the constant terms to the right hand side of the equation. It becomes
14x - 6x = 6 + 18
8x = 24
x = 24/8 = 3