An outside angle is equal to the sum of the two opposite inside angles.
Set up the equation to get:
6x = (x+40) + (3x+10)
Simplify the right side:
6x = 4x + 50
Subtract 4x from both sides:
2x = 50
Divide both sides by 2:
x = 50/2
x = 25
Now you have X you can solve for each angle:
6x = 6*25 = 150
(x+40) = 25 + 40 = 65
(3x +10) = 3(25) +10 = 75 + 10 = 85
X = 3y - 6 so:
2(3y - 6) - 4y = 8
6y - 12 - 4y = 8
2y - 12 = 8
2y = 20
y = 10
x = 3(10) - 6
x = 30 - 6
x = 24
Answer: n = 160
Step-by-step explanation: Solve for n by simplifying both sides of the equation, then isolate the variable.
Hope this helps you out! ☺
-Leif Jonsi-
Answer:
Please find the attached graph
Melinda sold 8 packages of coffee and 6 packages of pastries
Step-by-step explanation:
The parameters given are;
Number of Packages of coffee = x
Number of Packages of pastries = y
Price of each package of coffee = $6
Price of each package of coffee = $4
Number of packages of packages of coffee sold = 2 more than packages of packages pastries sold
x = 2 + y
y = x - 2................(1)
Sum of money made in the fundraiser = $72
∴ x × $6 + y × $4 = $72
y = ($72 - x × $6)/$4 = 18 - 3/2·x
y = 18 - 3/2·x.........(2)
The solution is
x - 2 = 18 - 3/2·x
x + 3/2 = 18 + 2 = 20
5/2·x = 20
x = 2/5×20 = 8
y = x - 2 = 8 - 2 = 6