Answer:
Step-by-step explanation:
<u>This is a sum of the first n terms of an AP:</u>
<u>The true sum is between 92 and 145:</u>
- 92 < n(n + 1)/2 < 145
- 184 < n(n + 1) < 290
- 184 < n² + n < 290
- 185 < (n + 1/2)² < 291
- √185 < n + 1/2 < √291
- 14 ≤ n < 17
<u>Let n = 14</u>
<u>Let n = 15</u>
<u>Let n = 16</u>
Answer:
The smaller number is 23
Step-by-step explanation:
Given
Let the odd numbers be x and y [x, being the smallest]
Such that

and

Required
Find x
Substitute
in 
![x * [x + 2] = 575](https://tex.z-dn.net/?f=x%20%2A%20%5Bx%20%2B%202%5D%20%3D%20575)
Open bracket

Equate to 0

Expand

Factorize

Factor out x + 25

Solve
or 
or 
But x can't be negative.
So:

<span>∠1 and ∠5 are correspondent angles. If they are congruents, the lines a and b must be parallels.
Answer: Third option. </span><span>The lines are Parallel</span>
The probability is 30%
It is not likely to occur
Answer:
y=12
x=30
Step-by-step explanation:
2x-3y=24 ... 1
x+6y=18 ... 2
2*2:
2x+12y=36...3
3-1:
y=12
x=30