You started a trip when your odometer reads 23,672 miles, and you have a full tank of gas. after driving a few hours, you fill up your tank. if you buy 16.5 gallond and your odometer reada 23,927, how many miles to the gallon are you getting, round to the nearest tenth of a gallon.

15.50 miles per gallon

Step-by-step explanation:

You divide 23,927 by 23,672

which looks like this 23,927-23,672

the result is 255

you take 255 and divide it by the amount of gallons it took to refill your car

which results in the answer 15.45

then you round to the nearest tenth

which would be 15.50

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°