Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
Answer:
Step-by-step explanation:
x²+24x+60=0
x²+24x+(24/2)²=-60+(24/2)²
(x+12)²=-60+144
(x+12)²=84
Answer:
![\large\boxed{(g\circ f)(2)=1296}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28g%5Ccirc%20f%29%282%29%3D1296%7D)
Step-by-step explanation:
![(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(x)=-x+8,\ g(x)=x^4\\\\(g\circ f)(x)=\g\bigg(f(x)\bigg)=(-x+8)^4\\\\(g\circ f)(2)\to\text{put x = 2 to the equation}\ (g\circ f)(x):\\\\(g\circ f)(2)=(-2+8)^4=(6)^4=1296](https://tex.z-dn.net/?f=%28g%5Ccirc%20f%29%28x%29%3Dg%5Cbigg%28f%28x%29%5Cbigg%29%5C%5C%5C%5Cf%28x%29%3D-x%2B8%2C%5C%20g%28x%29%3Dx%5E4%5C%5C%5C%5C%28g%5Ccirc%20f%29%28x%29%3D%5Cg%5Cbigg%28f%28x%29%5Cbigg%29%3D%28-x%2B8%29%5E4%5C%5C%5C%5C%28g%5Ccirc%20f%29%282%29%5Cto%5Ctext%7Bput%20x%20%3D%202%20to%20the%20equation%7D%5C%20%28g%5Ccirc%20f%29%28x%29%3A%5C%5C%5C%5C%28g%5Ccirc%20f%29%282%29%3D%28-2%2B8%29%5E4%3D%286%29%5E4%3D1296)
Answer:
u <= 80
u > 80
Step-by-step explanation:
The happiest would be
Null hypothesis: u <= 80
Alternative hypothesis: u > 80