A horse and carriage ride is available in the park. A 3-mile ride costs $10.24 per person and a 5-mile ride costs $18.58 per person. How much will a 4-mile ride cost per person?

$14.41

Step-by-step explanation:

3 mile: 10.24

5 mile: 18.58

2 additional miles:

18.58 - 10.24

8.34

1 additional mile: 8.34 ÷ 2

= 4.17

Cost of 4 mile:

3 miles + 1 additional

10.24 + 4.17 = 14.41

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°