If a is directly proportional to b, we have the relationship to be:
When a = 25, b = 35. Therefore, we can calculate the value of k as follows:
Therefore, the relationship is given to be:
When a = 40, we can calculate the value of b to be:
The value of b is 56.
Answer:
x=-3
Step-by-step explanation:
<h3>
Answer: There is only one answer and it is choice B</h3><h3>Angle 1 and angle 4 are alternate interior angles</h3>
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Explanation
- A. This is false because it should be angle 4 + angle 5 = 180 without the angle 6. Adding on angle 6 results in some angle larger than 180. Note how angle 5 = (angle 3)+(angle 6).
- B. This is true and useful to showing that the three angles of a triangle add to 180 degrees. This is because you'll use the fact that angles 4, 5 and 6 combine to 180 degrees.
- C. While this is a true statement by the exterior angle theorem, it is not useful to the proof. It is better to state that angle 2 and angle 6 are congruent because they are alternate interior angles.
- D. Like choice C, it is true but not useful. It's better to say that angle 1 is congruent to angle 4. See choice B above.
Note how it's not enough for a statement to be true. It also needs to be relevant or useful to the context at hand. A more simpler example of this could be stating that x+x = 2x.
Answer:
See below
Step-by-step explanation:
To graph the line we need two points, one point is the y-intercept, the second point to be calculated.
Q7
<u>y = -3x + 6</u>
- The y-intercept is (0, 6)
<u>Let the domain be x = 5 for the second point, then:</u>
- y = -3*5 + 6 = -15 + 6 = -9
- The point is (5, -9)
Connect these points to get the graph
Q8
<u>y = 4/5x - 3</u>
- The y-intercept is (0, -3)
<u>Let the domain be x = 5 for the second point, then:</u>
- y = 4/5*5 - 3 = 4 - 3 = 1
- The point is (5, 1)
Connect these two points to get the graph
Answer: They are not inverse.
Step-by-step explanation:
