Shelly's plumber charges her $50 per hour plus a service call fee of $75. If she is going to create a function to represent this situation, what would be her input (independent variable)? a. Total cost

b. Joe the plumber

c.50

d.75

e. Time, in hours

E. Time, in hours

Step-by-step explanation:

given data

charges her $50 per hour]

plus a service call fee of $75.

we know that the total cost can be expressed as

y=75+50xthis is the function to represent the situation

where x is the number of hours worked

Hence the input independent variable is x, which is the time she can dedicate for the work

d. vertex

step-by-step explanation:

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°