There are 540 degrees total in the interior angles of a regular pentagon.
Just so you know, the total degrees of interior angles goes up by 180 degrees.
A triangle is 180 degrees, a quadrilateral 360, and a pentagon 540.
Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given 
= 12 and 
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
Answer:
Your Answer is ...
x > 3 or x < -7
Step-by-step explanation:
1. x > 3 worked out
|X + 2| > 5
Solve absolute Value
|X + 2| > 5
We know either |X + 2| > 5 or x + 2 < - 5
_________________________________
2. x < -7 Worked out
Hope this Helps!
Take Care!
Eas
permutations
5 digits
5*4*3*2*1=120 ways
if you count 0 in front of the number as a whole number
if you don't, then there are 96 ways
Part A:
The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).
Part B:
The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.
Part C:
As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.
Part D:
From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.
