Hello!
The recursive rule for an arithmetic sequence:
.
The explicit rule for an arithmetic sequence:
.
is the value you are trying to find, or simply the answer. :)
is the common difference of the sequence.
is the first term of the sequence.
Given,
and
...
The common difference is -6, and the first term is 8.
Plug these values into the explicit rule for an arithmetic sequence, you get:
.
Therefore, the answer is A,
.
If you wondered why,
is equal to
, the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes
and
equal to each other.
Answer:
The other angle is 60°
Their ratio is 1 : 2
Step-by-step explanation:
Let us revise some special angles
A pair of complementary angles is two angles their sum is 90°
A pair of supplementary angles is two angles their sum is 180°
In the question
∵ One angle of the pair of complementary angle = 30°
∵ The sum of the two complementary angles = 90°
→ Subtract 30° from 90° to find the other angle
∴ The other angle = 90° - 30° = 60°
∴ The other angle is 60°
To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form
∵ Their ratio = 30 : 60
→ Divide both sides by 10
∴ Their ratio = 3 : 6
→ Divide both sides by 3
∴ Their ratio = 1 : 2
∴ Their ratio is 1 : 2
Use photo math or socratic
2x + 100 = 5x + 55
3x = 45
x = 15
2(15) + 100 = 130
180-130 = 50
so angle 2 is 50 degrees
Answer:
Answers are below
Step-by-step explanation:
The rise of the line is -5 units. The run is 4 units. The slope of the line is -5/4.
If these answers are correct, please make me Brainliest!