Question

In Washington D.C, E. Capitol street, independence avenue, C street, and D street are parallel streets that intersect with Kentucky Avenue and 12th.

How long (to the nearest foot) is Kentucky Avenue between C street and D street?

How long (to the nearest foot) is Kentucky avenue between E. Captiol street and independence avenue?

Answer 1

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