Before starting out on a trip, gwen noted that her car’s odometer read 37,465. after the trip, the odometer read 39721. how many miles did gwen drive on her trip? check your answer by using addition.

Subtract the beginning mileage from the final mileage:

39,721 - 37,465 = 2,256 miles.

Check the answer by adding the mileage driven to the beginning mileage:

37465 + 2256 = 39,721

2,256 miles

Step-by-step explanation:

Before starting out on a trip, Gwen noted that her car's odometer read = 37,465.

After the trip, the odometer read = 39,721.

So Gwen drove on her trip = 39,721 - 37,465 = 2,256

therefore, Gwen drove 2,256 miles on her trip.

By adding we can check our answer.

last read + driven miles = current read

37,465 + 2,256 = 39,721

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°