We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
Let the two parts with equal length have length x.
The longer part has length x + 20.
The sum of the three lengths is 695 m.
x + x + x + 20 = 695
3x + 20 = 695
3x = 675
x = 225
x + 20 = 245
The two short parts measure 225 m, and the long part measures 245 m.
Answer:
x = 45
Step-by-step explanation:
x and 3x are adjacent angles and the form a straight line. Their sum will be 180 degrees
x +3x = 180
Combine like terms
4x = 180
Divide each side by 4
4x/4 = 180/4
x =45
The answer to that question is 1
