Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. after paying the agent, daniel takes home $120. use the diagram to answer the following questions. daniel’s agent made . daniel and the agent made a total of from the show.

Daniels agent made $40.

Daniel and the agent made a total of $160 from the show.

Step-by-step explanation:

Given:

Let the total amount made from the show  = x

Daniel's agent made = 25% of x

Daniel made = $120

From the question, we know that the total amount is the sume of what daniel and the agent took.

So,

x = 120 + 25% of x

x-0.25x = 120

0.75x = 120

x = 160.

Hence the total amount made from the show is $120.

Daniel's agent made = 25 % of 160

= 0.25*160

= 40

Hence, Daniel's agent made $40 from the show.

the answer is a

step-by-step explanation:

39.00 x 24 = total installment price

carrying installment price - cash price

needed to save the .00/

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°