The correct option is B): "<span>Let x = 1st integer. Let x + 2 = 2nd integer.</span><span>"
Given that "The sum of two consecutive odd integers is 28."
Now the difference between two odd numbers is 2.
So this means that one odd number has to be greater than the other by 2.
Let the smaller number be 'X' therefore the bigger number will be 'x+2'
thus
x + (x+2) = 28
therefore,
x + x + 2 = 28
now we subtract "2" from both the sides
therefore,
2x = 26
now dividing throughout by 2 we get:
x = 13
therefore,
x + 2 = 13+2
= 15
therefore, the numbers are
13 AND 15</span>
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
<span>
</span>
Answer:
x = 21
Step-by-step explanation:
Givens:
Every triangle's interior angles add up to 180°
The triangle has a right angle.
The triangle is isosceles (two equal sides and two equal angles)
Let's make an equation with the information we have already.
2 × (2x + 3) + 90 = 180
4x + 6 + 90 = 180
4x + 96 = 180
4x = 84
x = 21
If the ratio is 7 to 1, the width of the wing must be 1/7 of the length. So, we just divide 26.7 by 7 to get 3.81 meters.
