Answer:
x = 5 units.
Step-by-step explanation:
In a parallelogram. diagonals bisect each other.
This means
.


.
Therefore, the length of x = 5 units.
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
=
- 7 with a₁ = - 18 ← recursive formula
Divide both sides by 3.1 and find g = 20.9/3.1 ≈ 6.7 ≈ 7.
You can estimate this without a calculator by saying 20.9 ≈ 21 and 3.1≈3, then 21/3=7.
In general, be careful with rounding before a calculation, because the rounding errors can be enlarged, messing up the accuracy of your answer. It's best to round only at the end.
So first you’d add the numbers together 31+36+18=85 boys
Then
34+44+26=104 girls
Then add 85+104=189 in total
Then divide 189/104=.055 so C