Answer:
Using that parallel lines determine proportional segments in secants that cut them:
1.) Kentucky Avenue is 575 ft between C street and D street.
2.) Kentucky Avenue is 750 ft between E. Captiol street and Independence Avenue.
Step-by-step explanation:
1.) How long (to the nearest foot) is Kentucky Avenue between C street and D street?
Length of Kentucky Avenue between C street and D street: x = ?
Using that parallel lines determine proportional segments in secants that cut them:
x / (460 ft) = (1000 ft) / (800 ft)
Dividing on the right side of the equation:
x / (460 ft) = 1.25
Solving for x: Multiplying both sides of the equation above by 460 ft:
(460 ft) [ x / (460 ft) ] = (460 ft) (1.25)
x = 575 ft
2.) How long (to the nearest foot) is Kentucky Avenue between E. Captiol street and Independence avenue?
Length of Kentucky Avenue between E. Captiol street and Independence Avenue: y = ?
Using that parallel lines determine proportional segments in secants that cut them:
y / (600 ft) = (1000 ft) / (800 ft)
Dividing on the right side of the equation:
y / (600 ft) = 1.25
Solving for y: Multiplying both sides of the equation above by 600 ft:
(600 ft) [ y / (600 ft) ] = (600 ft) (1.25)
y = 750 ft
