The graph below shows the number of houses sold over x days. what is the average rate of change from day 2 to day 10? -4/3 -3/4 6 8

Average rate of change =

Step-by-step explanation:

Average rate of change in houses sold is actually the slope between two points.

Lets say that the slope = m

Then m =

Here we have houses sold for day we can write it as and houses sold for day we can write it in coordinate form as tex](x_1,y_1)=(10,2)[/tex]

Plugging the values :

m = = =  

Reducing the fraction to its simplest form by dividing both numerator and denominator with 2.

=

So the average rate of change in the selling of houses from day to day is

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°