Jim’s fundraiser bbq needs to make at least $1000 in sales on saturday. he sells hot dogs for $2 each and hamburgers for $3 each, and he wants to sell at least twice as many hamburgers as hot dogs. he brought 300 hot dogs and 800 hamburgers to sell. the graph shows the feasible region, where x represents the number of hot dogs sold and y represents the number of hamburgers sold. which ordered pairs meet all the constraints for a successful fundraiser and make sense in context of the situation? select each correct answer.

both (0,350) and (250,700) fall in the shaded are

 and check:

350 *3 = 1050, which is more than 1000 and more than double the amount of hotdogs ( 0)

700 *3 = 2100, so over 1000 and more than double the amount of hotdogs(250*2=500)

 so those 2 are correct

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°