Answer:
B)140
Step-by-step explanation:
So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations
1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation
2. Now: 100 + (5x+5) + (180- (21x-7))= 180
3. Solve:
105+5x+180-21x+7=180
112-16x=0
112=16x
x=7
4. Plug x=7 into 21x-7= 140
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S
Answer:
Children's books
Step-by-step explanation:
It is easier to compare if we covert all numbers to decimals:-
3/10 = 0.30, 25% = 0.25 and 7/20 = 0.35
So we see that children's books (0,35) cover the most shelf space
Personally, I would thank them but I wouldn't use it in my restaurant. Using canned food is frowned upon in restaurants, because only fresh vegetables and fruits should be used.
The recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
<h3>How to determine the recursive formula?</h3>
The explicit formula of the arithmetic sequence is given as;
f(n) = 5 + 12(n - 1)
Open the bracket
f(n) = 5 + 12n - 12
Evaluate the like terms
f(n)= 12n - 7
Calculate f(1) and f(2)
f(1)= 12(1) - 7= 5
f(2)= 12(2) - 7= 17
The difference between f(1) and f(2) is 12
Hence, the recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
Read more about sequence at:
brainly.com/question/7882626
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<u>Complete question</u>
The explicit formula of the arithmetic sequence is f(n)=5+12(n-1)
Determine the recursive formula