Answer:
2x - 0.4x ;
8x/5 ;
Yes
Step-by-step explanation:
Let number of miles = x
Arlene:
Double number of miles = 2 * x = 2x
Subtract 20% of the result :
2x - 20% of 2x ;
2x - 0.4x
Raul:
Divides Number of miles by 5 ; x / 5
Multiplies result by 8 ;
8 * (x/5) = 8x /5
To know if expressions are equivalent :
Let x = 10 miles
Using Arlene's expression:
2x - 0.4x
x = 10
2(10) - 0.4(10) = 16
Using Raul's expression :
8x / 5
(8*10) / 5
80/5
= 16
Since they give the same result, we can conclude that the expression are equivalent
The X and Y angles created by lines intersection in the pictures are 18° and 54°.
Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:
∠MON = ∠MOA +∠AON = 90°
∠MON = 72° + ∠AON = 90°
∠AON = 18° ... (i)
If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:
∠AOD = ∠BOC
∠AOC = ∠BOD
∠AOD + AOC = 180°
∠BOC + ∠BOD = 180°
Based on the picture, we know that:
∠BOC = x
∠AOC = ∠MOA + ∠MOC
∠AOC = 72° + y ...(ii)
∠AOD = ∠AON + ∠NOD
∠AOD = 18° +2x
∠BOC = 3x ... (iii)
Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:
∠BOC = ∠AOD
3x = 18° + 2x
x = 18° ... (iv)
To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we know that:
∠AOC + ∠BOC = 180° ... (v)
Input equations (ii) and (iv) into (v)
∠AOC + ∠BOC = 180°
(72° + y) + 3x = 180°
72° + y + 3(18°) = 180°
126° + y = 180°
y = 54° ... (vi)
Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults
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Answer:
Y=1/5x+ -2
Step-by-step explanation:
Hope this helps
Answer:
r=2/3
Step-by-step explanation:
Answer:
Water and alcohol
Step-by-step explanation:
They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.
- their smell
- their PH
- their density
