Question

1. on a map, the scale is 3 in : 10 miles. if warminster is 3.5 miles from hatboro, how far apart would the be on the map?
2. what does it mean for triangles to be similar?

Explanation:

Step1: Set up proportion

Let \(x\) be the distance on the map. The proportion is \(\frac{3}{10}=\frac{x}{3.5}\) (since the scale is \(3\) inches to \(10\) miles and the actual distance is \(3.5\) miles).

Step2: Solve for \(x\)

Cross - multiply: \(10x = 3\times3.5\). Then \(10x=10.5\). Divide both sides by \(10\): \(x=\frac{10.5}{10}=1.05\) inches.

Answer:

\(1.05\) inches