Step-by-step explanation:
the first statement and reason is usually found in what's given at the beginning.
1.a 1. given
the last one is what they want you to prove (also found under what was given)
4. g ( the symbol just means congruent)
supplementary means if I take how far the angle opens up and add it to the other angle I will get a straight line or 180°
the middle letter tells me the corner (vertex) and like opening a book you can see how much the angle opens up. it is a definition for supplementary angles
22a) Matts' weekly fee is $7.50. We know this is by looking at the Y-axis. If he doesn't sell any books at the beginning of the week, his earnings are at -$7.50. We can assume that he pays that much for internet fee.
22b) Matt makes $1.50 for each book he sells. We know this because if you look at (5,0) and then the next one (6, 1.5), we see that his Y-value has increased by $1.50, which is equal to one book because 6 - 5 = 1 book.
22c) y = 1.5x - 7.5
22d) I'm going to assume that question means $30 in profit. Let's plug in the 30 in the equation. 30 = 1.5x - 7.5. Simplify.
Matt has to sell 25 books to make $30
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
Answer:
Step-by-step explanation:
So if you count the length, and width then times them then you will get the right answer.
List out the multiples of 8
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
I'm going to highlight in bold the values between 20 and 50
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
So the favorable outcomes, aka the outcomes we want, are: {24, 32, 40, 48}
These four values are all divisible by 8. Also, these values are between 20 and 50.
