The table showing the conversion of angle measure in degrees to angles in gradients is attached below.
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
Answer: 
Step-by-step explanation:
y=mx+b is the equation for a non-proportional relationship. Essentially, you can use this for a proportional relationship as well, since the y-intercept of a proportional relationship will always be zero.
and
are the variables of the equation, and represent the coordinates of the line.
is the slope of the equation. To find the slope, use rise over run, or the change in y between two points over the change in x between two points. The last part is the y-intercept, or
. This shows when the line intercepts the y-axis.
Answer:
x = sqrt(39)
Step-by-step explanation:
Let y = common side of the two triangles.
Upper right triangle:
6^2 + y^2 = 10^2
y^2 = 100 - 36
y^2 = 64
y = 8
Lower left triangle:
5^2 + x^2 = 8^2
x^2 = 64 - 25
x^2 = 39
x = sqrt(39)
The first one states that there are 6 cups of orange juice for every _ cups of punch
There are 6 cups of orange juice and 4 cups of cranberry in 10 cups of juice because 6 c orange + 4 c cranberry = 10 cups total punch
So for 6 cups of orange juice there would be 10 cups of punch.
The 3rd one states that the ratio of cranberry juice to punch is _:_
Punch is cranberry and orange combined- at the ratio of 4:6
So for 4 cups of cranberry, there would be 10 cups punch (4 c cranberry + 6 c orange = 10 c punch)
So the ratio would be 4:10, it can be simplified like fractions as 2:5
I don't know is you have to but if you do, don't forget to simplify the ratios.
Good luck!