Question

Dallas
Houston
San Antonio
3 in
3.75 in
4.125 in
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Part 1
If the actual distance from San Antonio to Houston is approximately 188 ​miles, use the lengths of the line segments indicated in the figure along with similar triangles to approximate
a. the actual distance from Dallas to Houston.

Answer 1

wrong

Answer 2

To find the actual distance from Dallas to Houston using similar triangles, we can set up a proportion:

Let x be the actual distance from Dallas to Houston.

Using the given measurements:
3 in is to 188 miles as 4.125 in is to x miles.

3/188 = 4.125/x

Cross multiply:
3x = 188 * 4.125
3x = 774
x = 774/3
x ≈ 258 miles

Therefore, the actual distance from Dallas to Houston is approximately 258 miles.

Answer 3

I apologize for the mistake. Let's try that again.

Let x be the actual distance from Dallas to Houston.

Using the given measurements:
3 in is to 188 miles as 4.125 in is to x miles.

3/188 = 4.125/x

Cross multiply:
3x = 188 * 4.125
3x = 774
x = 774/3
x ≈ 258 miles

Therefore, the actual distance from Dallas to Houston is approximately 258 miles.