Jean traveled the first 100 miles in 5 hours. Then she doubled her speed for the last part
of the trip. If the total trip was 300 miles, how many hours did it take Jean to travel the
last part?

Time taken to travel the last part by Jean is 5 hours.

Step-by-step explanation:

⇒ Speed = Distance/Time = 100/5 = 20 miles/hour

⇒ Speed for second part = 2 × 20 = 40 miles/hour

⇒ Time = Distance/Speed = 200/40 = 5 hours

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°

300pi

step-by-step explanation: