An entertainment firm offers several dj choices and light shows that range in price based on the rental time period. the dj's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. if you are booking both a dj and a light show, write a compound inequality that represents the possible total amount you would pay, x.

Step-by-step explanation:

Given : The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night.

To Find: If you are booking both a DJ and a light show, write a compound inequality that represents the possible total amount you would pay, x.

Solution:

Let x be the total amount for both a DJ and a light show

DJ's cost between $219.00 and $369.00 per night

The light shows cost between $159.00 and $309.00 per night.

Minimum cost for Dj and light show both =Minimum DJ cost +Minimum light show cost

                                                                    = 219+159

                                                                    = 378

Maximum cost for Dj and light show both =Maximum DJ cost +Maximum light show cost

                                                                    = 369+309

                                                                    = 678

So, Compound inequality:Minimum cost for Dj and light show both <x<Maximum cost for Dj and light show both

Compound inequality:

Hence a compound inequality that represents the possible total amount you would pay, x. 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°

what graph

step-by-step explanation: