Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n ≤ − 2
It is 32. It matches with side LM and so it's equal to 32
A triangle has 3 sides, the total interior angels sum to 180 degrees.
A square has 4 sides, the total interior angels sum to 360 degrees.
A pentagon has 5 sides, the total interior angels sum to 540 degrees.
Do you see a trend?
Answer:
The (s) sum of interior angles equals the (n) number of sides, minus 2, times 180.
This is written as
s = (n - 2) * 180
If we put in 900 for s, we get
900 = (n - 2) * 180
5 = n - 2
n = 7
A polygon with 7 sides is called a Heptagon.
Answer: 100
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Explanation:
First term
f(1) = 1
which is given to us
We will use the equation f(n+1) = -10*f(n) to generate successive terms after this first term.
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Second term
f(n+1) = -10*f(n)
f(1+1) = -10*f(1) ... plug in n = 1
f(2) = -10*f(1)
f(2) = -10*1 ... replace f(1) with 1 (works because f(1) = 1)
f(2) = -10
Put another way, the second term is -10 times the first term
second term = -10*(first term)
second term = -10*(1)
second term = -10
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Third term
f(n+1) = -10*f(n)
f(2+1) = -10*f(2) ... replace n with 2
f(3) = -10*f(2)
f(3) = -10*(-10) ... replace f(2) with -10 (works because f(2) = -10)
f(3) = 100 which is the answer we want
In other words, the third term is -10 times the second term
third term = -10*(second term)
third term = -10*(-10)
third term = 100
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Summary of the three terms
f(1) = 1
f(2) = -10
f(3) = 100
Each term is found by multiplying the previous term by -10