Answer:
45 or positive 45
Step-by-step explanation:
First solve the triangle:
75° + 75° + x = 180°
150° + x = 180°
x = 180° - 150°
Therefore x = 30°
Then, use the geometrical property of vertically opposite angles.
Therefore. x° = 30°
Answer:
Step-by-step explanation:
the range is written as (min y value, max y value)
the domain is written as (min x value, max x value)
question 6
the min y value on the picture is -3, while the arrows point upward, so the max is infinity, so the domain is [-3,∞), with a bracket on -3 because -3 is included
[-3,∞)
question 7
the min x value is the leftmost point, which is at x = -3, while the max is the rightmost point at x = 3, and both are included in the domain so there should be brackets on both
[-3,3]
question 8
the arrow on the left points to the left and up infinitely, so the min is -∞, the arrow on the right points to the right and up infinitely, so the max x value is ∞
(-∞,∞)
question 9
the min value is the bottommost point at y = -2, and the arrow points upward infinitely so the max y value is ∞
[-2,∞)
question 10
the arrow on the left points to the left infinitely so the min x value is -∞, the arrow on the right points to the right infinitely so the max x value is ∞
(-∞,∞)
Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Then, given the points 
and 
, you can identify that:
Knowing these values you can substitute them into the formula for calculate the slope:
Finally, evaluating, you get that the slope of that line is:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
