Explanation:
An arithmetic sequence has a common difference, meaning you use addition or subtraction to get from term to term, and each term in the sequence is an equal distance apart.
A geometric sequence has a common ratio, meaning that you use multiplication or division to get from term to term.
If you look at this sequence:
14-2 = 12
12-2 = 10
10-2 = 8
8 -2 = 4
etc.
Because you are subtracting 2 each time, 2 is the common difference, and the sequence is arithmetic.
Y = f(x) = -3x
y = -3x
y = (constant) x
y is proportional to x.<span>
Hence we can say Y is proportional to x , having (-3) as proportionality Constant. hope this helps</span>
Answer:
63/100
Step-by-step explanation:
Im Pretty sure this the correct answer
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
