Answer:
20
Step-by-step explanation:
interior angle + exterior angle = 180°
162° + exterior angle = 180° ( subtract 162° from both sides )
exterior angle = 18°
the sum of the exterior angles of a polygon = 360° , then
number of sides = 360° ÷ 18° = 20
Answer:
The explicit formula is a
= 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a
= first term; a
= a
+ d is a
= a + (n - 1)d, where
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a
= -1 and a
= a
- 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a
= -1 + (n - 1)(-6)
∴ a
= -1 + (-6)(n) - (-6)(1)
∴ a
= -1 + -6n - (-6)
∴ a
= -1 - 6n + 6
→ Add the like term
∴ a
= 5 - 6n
∴ The explicit formula is a
= 5 - 6n
Answer:
the length of side X is 37
D=20 because if you divide 70 by 3.5 you get d. hope this helps!
If y = f(x), then f⁻¹(y) = x.
We have f(x) = 2x + 2, so that f(x) = 4 when
2x + 2 = 4
2x = 2
x = 1
So we know f(1) = 4.
Then this means 1 = f⁻¹(4).