A weight loss program advertises a person can attain an average weight loss of 4 pounds per week.

(a) What is the average rate of change (in pounds per week) for this weight loss program?

(b) If a person who weighs 180 pounds follows the weight loss program, what is the person's weight (in pounds) after 5 weeks?

a)  Avg rate of change = 4 pounds per week

b)  160 pounds

Step-by-step explanation:

a)

The average rate of change is also called the slope. It is advertised that a person can loose 4 pounds in a week in the program. So, the average rate of change is 4 pounds per week.

Avg rate of change = 4 pounds per week

b)

In 5 weeks, a person can loose:

4 * 5 = 20 pounds (in 5 weeks)

Initially the person weighed 180 pounds, now after the program, he lost 20 pounds, so his weight will be:

180 - 20 = 160 pounds

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

angle addition postulate

2x=56

step-by-step explanation: