The hart family drove 10 hours to their vacation spot. they drove an average of 48 miles each hour. how miles did they drive in all

They drove 480 miles in all.

Step-by-step explanation:

The formula use to find distance :-

Given : The hart family drove 10 hours to their vacation spot.

i.e. Time = 10 hours

They drove an average of 48 miles each hour.

i.e. Speed = 48 miles each hour

Then,

Hence, they drove 480 miles in all.

do you have the measurements?

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°