Answer:
<h2>
<em>C. 28</em></h2>
Step-by-step explanation:
Step-by-step explanation:
x° + (x - 34)° = 180°. (C-angles)
Thereforr 2x - 34 = 180 and x = 107.
x° = 107°.
(x - 34)° = 73°.
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part
1
/
2
. Many consider it to be the most important unsolved problem in pure mathematics (Bombieri 2000). It is of great interest in number theory because it implies results about the distribution of prime numbers. It was proposed by Bernhard Riemann (1859), after whom it is named.
Answer:
a. vertical
b. corresponding
c. same-side interior angles
d. alternate exterior
e.alternate interior
f. same-side exterior
g. vertical angles
h. corresponding angles
Step-by-step explanation:
Definitions: Alternate interior angles: two nonadjacent interior angles on opposite sides of the transversal.
Same-side interior angles: two interior angles on the same side of the transversal.
Corresponding angles: two angles in corresponding positions relative to the two lines
a. Angle 1 and Angle 4: These angles are vertical angles.
b. Angle 2 & Angle 6: These angles are corresponding angles.
c. Angle 3 and Angle 5: Same-side interior angles
d. Angle 1 & Angle 8: Alternate exterior
e. Angle 4 and Angle 5: Alternate interior angles
f. <2 & <8
Same-side exterior angles
g. <6 & <7 vertical angles
h. <3 & <7
Corresponding angles
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
