Hello!
All the angles inside a triangle is equal to 180
To find x you can do
180 - 50 - 70 = 60
x = 60
To find y you have to find the other missing angle in the other triangle
180 - 50 - 60 = 70
A line is equal to 180°
To find y you do
180 - 60 - 70 = 50
x = 60 and y = 50
Hope this helps!
Answer:
r = -8sin(theta)
Step-by-step explanation:
used desmos
Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Answer:
D
Step-by-step explanation:
a triangles angles have to add up to 180 degrees
p.s.I hope this helps
