Answer:
Step-by-step explanation:
Find attached:
For algebraic division use KCF method.
K - Keep the first fraction
C- Change division to multiplicatin
F -Flip the second fraction.
3) Indenty used: (a -b)² =a² -2ab + b²
Where a = m and b =2
4) Identity used: (a +b)² = a² + 2ab +b²
Where a = w and b = 1
5) Identity used: a² - b² = (a +b)*(a -b)
Where a = z and b = 2
Answer:
Recursive formula is: 
Explicit formula is: 
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:
and 
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

Finding Explicit Formula
The explicit formula is of type: 
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:

So, explicit formula is: 
Answer:
12.
m∠ACB = 180° - 58° - 78° = 44°
m∠DCE = 180° - 85° - 60° = 35°
m∠BCD = 180° - 44° - 35° = 101°
13.
Base on the picture, we know that:
x° + 2x° + 3x° = 180°
6x° = 180°
x° = 180° ÷ 6 = 30°
=> m∠K = 2x° = 2 × 30° = 60°
=> m∠L = 3x° = 3 × 30° = 90°
=> m∠KML = x° = 30°
m∠LMN = 60° + 90° = 150°
The simplest way to find percent is to take the partial number, divide by the whole number, and multiply the answer by 100%.
= 0.4
0.4 x 100% = 40%.