Kenny plans to rent a bike to ride around Denver on Saturday afternoon. He must pay an initial fee of $5.00 and
will then pay an additional $0.25 for each mile he rides. An
equation to represent this scenario is y = $0.25x + 5 (where
y represents the total Kenny will pay, and x represents the
number of miles he rides). If Kenny plans to bike for exactly
75 miles, how much should he be prepared to pay?
O $21.75

Step-by-step explanation:

0.25x+5=

x=75 miles

-232

step-by-step explanation:

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°