A straight line is 180°.
The sum of all the angles in a triangle is also 180°.
Let the missing angle be x°.
For the straight line:
x + 2x²+ 3x+ 6 = 180
x = 180 - (2x² + 3x + 6)
x = 180 - 2x² - 3x - 6
x = 174 - 2x² - 3x
For the missing angle in the triangle:
(174 - 2x² - 3x) + 8x + 3x² - 6x = 180
174 - 2x² - 3x + 8x + 3x² - 6x = 180
174 + x² - x = 180
x² - x + 174 - 180 = 0
x² - x - 6 = 0
(x + 2)(x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
The answer is x = -2 or x = 3
Answer:
Step-by-step explanation:
Probability=(number of specific outcomes)/(total number of outcomes)
Since there are 4 comedies and 3+4+5=12 total movies
P(C)=4/12=1/3
Answer:
90/23
Step-by-step explanation:
First, you want to start in the parentheses. 5-6=-1, then multiply it by -2. Since a negative multiplied by a negative is a positive, -2*-1=2. -3^2=-9. 2+8=10. Then -9 times 10= -90. Then, we move on to the bottom. 5--2=7. 4^2=16, and -2(2)=-4. So -5(7) + 16-4=-23. Now, the equation should look like this, -90/-23. Put the negatives together and you get 90/23.
