Both angles are vertical angles. According to the Vertical Angles Theorem, vertical angles are congruent. Therefore:
6x°=120° [Vertical Angles Theorem (vertical angles are Congruent)].
6x/6=120/6 [Division P.O.E]
x=20.
Therefore, if x=20, then:
6(20)=120 [Substitution P.O.E.
120=120 [Symmetric P.O.E]
And thus,
x=20
Simplifying
8x + 8y = 12
Solving
8x + 8y = 12
Solving for the variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation. 8x + 8y + -8y = 12 + -8y
Combine like terms: 8y + -8y = 0
8x + 0 = 12 + -8y
8x = 12 + -8y
Divide each side by '8'.
x = 1.5 + -1y
Simplifying x = 1.5 + -1y
Answer:
the real part is 80
the imaginary part is -60
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3x+1)(x-3)-(2-2x^2-3x)
3x^2+x-9x-3-2+2x^2+3x
3x^2+2x^2+x-9x+3x-3-2
5x^2-5x-5
the constant term in the simplified expression is -5.
Answer:
A) -2/5
Step-by-step explanation:
Note that for a slope, the slope of the line is found by using the equation:
slope = (rise/run).
In this case, find two points. For example, i will use:
(0, 2) & (5, 0). (x = 0, y = 2) ; (x = 5, y = 0)
Note that "rise" = y, and "run" = x. Plug in the corresponding numbers for the corresponding points.
(2 - 0)/(0 - 5) = slope
Simplify
(2)/(-5) = slope
-(2/5) is your answer.
Note that it does not matter where the negative sign is placed.
~
