Answer:
Charlene claim is true.
Step-by-step explanation:
Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints.
It is not necessary as shown in the diagram (a).
Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.
It is true as shown in the diagram (b).
So, Charlene claim is true.
<h2>Given :-</h2>
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
<h2>To Find :-</h2>
m∠Q and m∠S.
<h2>Solution :-</h2>
According to angle sum property
P∠Q=180−∠P
∠Q=180−108
For angle S
∠S=180−∠R
∠S=180−53
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.
The answer is c. If the answer is wrong i am sorry
Answer:
33
Step-by-step explanation:
If you simplify what the question is saying, it's basically..
8 is 24% of <u>what number?</u>
To find out, you can simply set up an equation.
((24% = 0.24 as a decimal (move the decimal point two times to the left))
8 = 0.24 x N (N is just the 'whole')
To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.
The question says to round to the nearest whole number, so the answer would just be 33.
