To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.
Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.
b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?
Answer:
a. .
b. 266 miles.
Step-by-step explanation:
Let y represent distance in miles and x represent gallons of gas.
a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.
Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be .
Therefore, our required equation would be .
b. To find distance covered by Ann's car using 7 gallons, we will substitute in the equation:
Therefore, Ann's car will travel 266 miles in 7 gallons of gas.
Answer:
a. Since Ann's can travel 38 miles per gallon, so distance covered by using x gallons on gas would be 38x. Y=38x
b. Ann's car will travel 266 miles in 7 gallons of gas.