The distance from Old Towne to Bridgeway is 15 11/12 miles.
Step-by-step explanation:
In order to find the distance from Old Towne to Bridgeway, we need to subtract the posted distances for these two cities. Since Old Towne is 36 1/3 miles away and Bridgeway is 52 1/4 miles away, we need to subtract 36 1/3 from 52 1/4. We cannot subtract fractions with unlike denominators, so we need to find the lowest common denominator of 3 and 4, which is 12. When we make the fraction of 1/4 over a denominator of 12 we get 3/12 and when we convert 1/3 to a fraction with a denominator of 12, we get 4/12. Since we can not subtract 4 from 3, we need to take one away from 52 and add it to our fraction to become 51 15/12. Subtracting 51 15/12 - 36 4/12 = 15 11/12 miles.
The chord that goes through the center of a circle, the diameter, is the longest chord in a circle. Any other chord will be shorter than this. The farther a chord is away from the circle, the shorter it will be. This means that chord CD is shorter than chord AB.
