Question

A surveyor is surveying a street. The surveyor is standing at point A looking down the street at a No Parking sign at point B and a Stop sign at point D. Given AB= 6x-8 meters, AD=20 meters, BD=8 meters, and point B is between A and D, what is x in meters?

Answer 1

The correct answer for the value of x, when AB=6x-8, BD=8m and AD=20m with B between A and D, is x = 10/3 or approximately 3.33 meters.

Step-by-step explanation:

The correct answer is obtained by recognizing that the three points A, B, and D form a straight line segment, with point B between A and D.

This means that we can use the concept of distance on a line to solve for x. Since AB + BD = AD, we can plug in the given values: (6x - 8) + 8 = 20. Simplifying the equation gives 6x = 20, and therefore, x = 10/3 or approximately 3.33 meters.

The correct answer is option x = 3 meters.

Given AB = 6x-8, AD = 20, and BD = 8, we can set up a system of equations to solve for x. Since B is between A and D, we know that AB + BD = AD. Plugging in the given values, we have:

6x-8 + 8 = 20

Simplifying the equation, we get:

6x = 20

Dividing both sides by 6, we find:

x = 3

Therefore, the value of x is 3 meters.