2/15
90 ÷ 6 = 15
Theoretical probability would be 15 due to the equation above
Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle:
, where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE = 
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Answer: n = -6
Step-by-step explanation:
3n+14=-4
Subtract 14 from both sides.
3n+14-14=-4-14
Simplify
3n=-18
Divide both sides by 3
3n/3 = -18/3
n=-6
Answer:
30
Step-by-step explanation:
If they are parallel then the 2 labelled angles sum to 180.
2x+50+5x-80=180
7x-30=180
7x=210
x=30
40 = n-.40n
40 =n(1-.4)
40 = n(.6
divide by .6 on each side
40/.6 =n
n=66 2/3