Answer:
c
Step-by-step explanation:
x+x=90
2x=90 ,x=45 ,∆BAD=45
Step-by-step explanation:
3 + 3(k + 3) = 6(k - 2) + 9
3 + 3k + 9 = 6k - 12 + 9
12 + 12 - 9 = 6k - 3k
15 = 3k
k = 15/3
k = 5
Answer:
$149
Step-by-step explanation:
The computation of the amount left for the shopping is shown below;
= Amount have - Electricity bill - Water bill - telephone bill
= $430 - $119 - $65 - $97
= $149
We simply deduct all expenses from the amount available so the remaining amount i.e. left would be considered for shopping
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
- = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
- = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ - is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since - is divisible by 9, we have;
- 
= 
- is divisible by 9
Therefore is divisible by 9 and is divisible by 9 for all positive integers n
Step-by-step explanation:
