Windless surfing company’s marketing manager observes that if the price of designer windsocks is $40, then on average 70 windsocks are sold per month. experience has shown that if the price is raised from $40, then for every $1 increase in price, two fewer windsocks are sold each month.

The answer is x ≤ 50.

Step-by-step explanation:

As, A -70 = -2 (P -40)

A = -2P + 80 + 70

A = -2P + 150

Y = -2x + 150.

When y = 0,

Putting in the values

-2x = -150

x = 75.

-2x + 150 ≥ 50

-2x ≥ -100

x ≤ 50.

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°