Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
The lease common multiple of the set of numbers is 108.
108/4=27.
108/27=4.
108/12=9.
Answer:
x = 165, y = 15
Step-by-step explanation:
1. Well, what does supplementary mean? - The angles add up to 180°.
2. Let's form an equation: x + y = 180°
3. Let's say x is the larger angle and y is the smaller angle.
4. Let's form another equation: x = 150 + y
5. Put the two equations next to each other:
x + y = 180
x = 150 + y
6. We know what x is equaled to, so let's plug it into the first equation!
150 + y + y = 180
150 + 2y = 180
-150 -150
2y = 30
y = 15
7. Now, we know what y is, let's find x!
x + 15 = 180
-15 -15
x = 165
4g/cm^3
D = M/V
100g/25cm^3 = 4g/cm^3
