Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3
y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5
So the numbers are 3; 4 and 5.
You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
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Answer:
1. a=3, b = 2, c = 1.
2. a=2, b=3, c=4, d=6.
3. a = 9, b = 3.
Step-by-step explanation:
1. 3 | 21 is a counterexample because 3 does not divide into 2 or 1.
2. 23 | 46 is a counterexample because 2 does not divide into 3.
3. 9 | 3^2 is a counterexample because 9 does not divide into 3.
X^2 + y^2 = 8
X-y=0 so x = y
replace x = y into X^2 + y^2 = 8
y^2 + y^2 = 8
2y^2 = 8
y^2 = 8/2
y^2 = 4
y = - 2 and y = 2
because x = y
so x = - 2 and x = 2
solutions:
x= - 2 and x = + 2
y= - 2 and y = + 2
Answer: 35 degrees
Step-by-step explanation: 180-145=35