Question

in a certain city, e street, w street, c street, and d street are parallel streets that intersect k street and m street. how long is k street between c street and d street? the length of k street between c street and d street is \boxed{} ft. (round to the nearest whole number as needed.)

Explanation:

Step1: Use the property of similar triangles

Since \(D\) Street and \(E\) Street are parallel, the triangles formed are similar. Let the length of \(K\) Street between \(C\) Street and \(D\) Street be \(x\).
We have the proportion \(\frac{x}{290}=\frac{600}{350}\) (by the basic proportionality theorem for similar - triangles formed by parallel lines).

Step2: Solve the proportion for \(x\)

Cross - multiply the proportion: \(350x = 290\times600\).
Then \(x=\frac{290\times600}{350}=\frac{174000}{350}\approx497.14\).

Answer:

\(497\)