Answer:
The number of cats an frogs
Step-by-step explanation:
For some reason the equation has (c+f) grouped off from the rest, since in an equation the first step is to take care of things in the parentheses, first you must add the two together, and based on the description, you know that c is the number of cats and f is the number of frogs. Therefore adding them together would get the total number of cats and frogs.
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: B, $78
Step-by-step explanation:
If the tip is 20% of the dinner cost, then we have to first find what is 20% of 65.
20% x 65 = 13. So the tip for the dinner is 13 dollars.
Now we have to add it to the original dinner cost.
65 + 13 = 78.
Therefore, the total cost of their meal is 78 dollars. So the answer is B, $78!
Answer:
7
Step-by-step explanation:
4-(-3)=
4+3=
7
Answer:
74°,74° and 106°
Step-by-step explanation:
180 -106=74°
The two opposite interior angles=74°each
The other one=106°
