Answer:
No, it does not represent a proportional relationship.
Step-by-step explanation:
The ratios do not reduce to the same value.
40/1 = 40
50/2 = 25
60/3 = 20
We can also tell straight away that this is not a proportional relationship because Nina starts with $30. If the data were graphed, this would mean that the line would not go through the origin. It would start at 30 on the y axis.
Answer:
54.98 degrees.
Step-by-step explanation:
In the diagram, the sides of the A-Frame are lengths AB and BC. The width of the cabin is length BC. We are to determine the measure of the angle at B, i.e. the angle between the two sides of the roof.
Using Cosine Rule:
The angle in between the two sides of the roof is 54.98 degrees.
Answer:
- ∠AOD ∠BOC = 49°
- ∠AOB = ∠DOC = 131°
Step-by-step explanation:
Pick any pair of angles and write the equation that expresses their relationship. Solve for x, then use that value in any of the angle expressions to find the corresponding angle value.
For example, ...
∠AOD + ∠AOB = 180°
(5x -1) +(9x +41) = 180
14x = 140 . . . . . collect terms, subtract 40
x = 10 . . . . . . . . divide by 14
Now the angles are ...
∠AOD = (5·10 -1)° = 49°
∠AOB = (9·10 +41)° = 131° . . . . . supplementary to 49°
The remaining linear or vertical angles are equal to one or the other of these.
