Dexter paid $74.94 for 201⁄5 gallons of gas. what is the price of gas where dexter filled up his vehicle?

a. $3.73/gallon
b. $3.72/gallon
c. $3.71/gallon
d. $3.68/gallon

C. $3.71/gallon

Step-by-step explanation:

Take $74.94 divided by 20 1/5 (or 20.2), this equals the unrounded decimal 3.70990099.

Rounded to 2 decimal places, this equals 3.71

Therefore, C. $3.71/gallon is correct.

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°

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.