Answer:
Step-by-step explanation:
Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces
When we consider this graph as a straight line, the two points lying on the line would be
(30, 30) and (34, 28) taking n as horizontal and y vertical
Using two point equation we find that
the equation of the line is

Substitute the points as x =n

is the linear relationship between n and y
If you look from the points at angle 73, to 42, to 131, to z, the shape makes a quadrilateral.
Since the total of the interior angles in a quadrilateral add up to 360 you make an equation:
360 = 131 + 73 + 42 + 7 + x
Re-arrange the equation to get the x alone, by subtracting:
360 - 131 - 73 - 42 = x
114 = x
So x = 114 degrees<span />
Answer:
119
Step-by-step explanation:
So angle 6 equals angle 7 vertically opp angles. So 61 times 2 is 122. Total angles around a point is 360. So 360 - 122 is 238 which divided by 2 will give 119 cause angle 8 equals angle 5.
Answer:
Step-by-step explanation:
Speed = distance travelled/time
A horse ran 800 m in 40 seconds. This means that the speed is
800/40 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is
1200/60 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is
480/24 = 20 m/s
Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.
Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.
Let d represent the distance in meters.
Let t represent the time in seconds.
Therefore
d = 20t
Answer: 12
Step-by-step explanation: you would divide the interest by the amount of time. 60/5