Answer:

Step-by-step explanation:
=
=
= 
To solve this questions, we can turn 2 into a fractions.
2 as a fraction is 2/1 (because 2 divide by 1 is still 2)
We can now use this to get our answer.
1/3 ÷ 2/1
= 1/3 × 1/2 (flip the fraction and then multiply)
= 1/6 (1 x 1 / 3 x 6)
Or 0.16666.. as a decimal
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
Answer:

Step-by-step explanation:
The quadratic formula is:

The discriminant of a quadratic is just the expression under the square root, or
. This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.