In order to solve you must find the value of the blank angle.
Here is your first equation.
126 + x = 180
Subtract 126 from both sides.
x = 54
So now add up all the angles.
x + (2x + 6) + 54 = 180
Combine like terms.
3x + 60 = 180
Subtract 60 from both sides.
3x = 120
Divide.
x = 40
Now check your answer.
40 + 2(40) + 6 + 54 = 180
40 + 80 + 6 + 54 = 180
120 + 60 = 180
180 = 180
There is a solution. The answer is 40.
I hope this helps love! :)
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
I believe its 16 cubic inches
What would you earn in total commissions on the following sales of $5,100, $4,876, $5,215, $6,225, and $5,235, if you earned a c
9966 [12]
Answer:
I think the answer is C
Step-by-step explanation:
Answer:
The two number are:

Step-by-step explanation:
- Let 'x' be the first number
- let 'y' be the second number
Given that one number is 4 times another number, the first equation is

Next, the sum of their reciprocals is 5, so

Now, we have the system of equations

Let us solve the system of equations

substitute y = 4x in the equation 

Least Common Multiple of x, 4x: 4x
Adjust fractions based on L.C.M



Multiply both sides by 4x

Simplify

switch sides

Divide both sides by 20

Simplify

For y = 4x, substitute 



Therefore, the two number are:

<u>Verification:</u>

substituting 



L.H.S = R.H.S
and

substituting 

