Let x = 1st integer
x + 1 = 2nd integer
x + 2 = 3rd integer
3(x + x + 2) = 12(x + 1) - 84
3(2x + 2) = 12x + 12 - 84
6x + 6 = 12x - 72
-6x = -78
x = 13
Answer: 13, 14, 15
Answer:
I totally get why you are asking , how do I solve this. there is so much implied about this
Step-by-step explanation:
1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B , so that's implied. next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B so that's 180 = 124 + 2A , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD. that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so ∠BAD = 62°
I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles and geometry, you are putting all of the parts together here. :/ kinda daunting in some ways.
There are 3600 seconds in one hour.
120 seconds is 2 minutes
therefore, the fraction is
Answer:
1. -|12|
2. -5
3. -1
4. |-1|
5. 12
Step-by-step explanation:
Answer:
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Step-by-step explanation:
Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:
x + y = 18
x = 5y
Solve by substitution by substituting 5y as x into the first equation:
x + y = 18
5y + y = 18
Solve for y:
6y = 18
y = 3
So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:
3(5)
= 15
So, the longer piece is 15 feet long.
The longer piece is 15 feet long and the shorter piece is 3 feet long.