Answer:

Step-by-step explanation:
Given
Sequence = Consecutive Odds

Required
The sum of the terms
A sequence of odd number has a difference of 2. So, the sequence is represented as:

Add up all terms in the sequence


Answer:
75
Step-by-step explanation:
angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal
Answer:
explicit formula for an, the nth term of the sequence 19,24,29

Step-by-step explanation:
We need to Write an explicit formula for an, the nth term of the sequence 19,24,29
In the sequence the First term a₁= 19
Common Difference d= 5
The Formula used for explicit formula is: 
Where d is common difference and n is nth term of sequence.
So, explicit formula for an, the nth term of the sequence 19,24,29

Answer:
It is a binomial and the degree is 9
Foil method:
FOIL stands for
first-multiply the first term in each set of parenthesis
outer-multiply the outer term in each of the perenthesis
inner- multiply the inner term in each of the parenthesis
last- multiply the last term in each of the parenthesis
(3x+8)(x+1)
(3x*x)=3x^2
(3x*1)=3x
8*x=8x
8*1=8
thus we shall have:
3x^2+3x+8x+8
=3x^2+11x+8
Distributive property:
(3x+8)(x+1)
3x(x+1)+8(x+1)
3x^2+3x+8x+8
=3x^2+11x+8
Both methods are efficient, it all depends with the users preference