Answer:
Option C is correct
Step-by-step explanation:
The common difference is 10,
So, the function is f(n + 1) = f(n) + 10 , where f(1) = 14
The recursive function for the arithmetic sequence is given by:
.....[1]
where d is the common difference of the two consecutive terms.
Given the arithmetic sequence :
14, 24, 34, 44, 54, .......
First term f(1) = 14
Common difference(d) = 10
Since,
24 -14 = 10
34-24 = 10
44-34 = 10 and so on....
Substitute d = 4 in [1], we have;
Therefore, the recursive function used to generate the sequence is,
and f(1) = 10
The answers are
1) ∠A = 53
°
2) ∠D = 127°
3) x = 5
4) AB = 7
<u>Step-by-step explanation</u>:
In parallelogram,
- Consecutive angles are supplementary (∠A + ∠B = 180°).
- Opposite angels are congruent (∠D = ∠B).
- Opposite sides are congruent (AB = DC).
1) find angle A :
Given, ∠B = 127°
∠A + ∠B = 180°
∠A = 180-127= 53
°
2) find angle D :
Given, ∠B = 127°
∠D = ∠B
∠D = 127°
3) find x :
AB = DC
(x+2) = (2x-3)
2+3 = 2x-x
x = 5
4) find AB
:
AB = (x+2)
AB = 5+2
AB = 7
You can find the total amount Lewis spent on comic books by multiplying 6 by 13, as he purchased 6 comic books which each cost $13.
6 × $13 = $78
Then, you can subtract that amount from Lewis' earnings from mowing lawns to find how much money he had left after buying the comic books.
$210 - $78 = $132
Answer:
BC ≈ 12.6 m
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan31° = = = ( multiply both sides by BC )
BC × tan31° = 7.6 ( divide both sides by tan31° )
BC = ≈ 12.6 m ( to 3 sf )
Answer:
Yes, 14 × 216 = 3024
Step-by-step explanation: