An outside angle of a triangle is equal to the sum of the two opposite inside angles.
Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.
Setting up the equation you would have: 132 = x + (3x-24)
Now solve for x:
132 = x + (3x-24)
Simplify:
132 = 4x -24
Add 24 to both sides:
156 = 4x
Divide both sides by 4:
x = 156/4
x = 39
Answer:
y = -4
Step-by-step explanation:
3y - 2(5y - 7) = -9y + 6 (Given)
3y - 10y + 14 = -9y + 6 (Distribute)
-7y + 14 = -9y + 6 (Add like terms)
2y + 14 = 6 (Add 9y on both sides)
2y = -8 (Subtract 14 on both sides)
y = -4 (Divide 2 on both sides)
You can check by substituting the solution for y:
3(-4) - 2(5(-4) - 7) = -9(-4) + 6
-12 - 2(-20 - 7) = 36 + 6
-12 - 2(-27) = 42
-12 + 54 = 42
42 = 42
Answer:
Anywayd dont delete my answer no more
Step-by-step explanation:
Answer:
The answer is B: I and III only.
Step-by-step explanation:
Hi there!
Here is the step by step explanation to solving this problem :
20% of $1,049
20% is the same thing as 0.2 & the word "of" is the same thing as a multiplication sign :
0.2 × 1,049 = $209.80
1,049 - 209.80 = $839.20 = price after discount
4.25% is the same thing as 0.0425 :
0.0425 × 839.20 ≅ $35.67
839.20 + 35.67 = $874.87
The total cost is : $874.87
There you go! I really hope this helped, if there's anything just let me know! :)