Question

Find the value of x.

Figure is not drawn to scale.
NOTE: Similar triangles are proportional.
Write answer as an integer or a reduced fraction.

Answer 1

To find the value of x, set up a proportion using the given information and then solve for x by cross multiplying and dividing.

To find the value of x, we can set up a proportion using the given information. The first ratio is 0.5 inches to 75 miles, and the second ratio is 3 inches to x miles. We can write this as:

0.5 inches / 75 miles = 3 inches / x miles

To solve for x, we can cross multiply and then divide to isolate x. Multiplying across gives us:

0.5 inches * x miles = 3 inches * 75 miles

Dividing both sides by 0.5 inches gives us:

x miles = (3 inches * 75 miles) / 0.5 inches

Answer 2

Solution given in the attachment.