An actor starts at point A, walks across the
stage, and then stops at point B before
disappearing through the trap door. How
far does he walk across the stage?

An actor starts at point A walks across the stage and then stops at point B before disappearing through the trap door How far does he walk across the stage class=

Respuesta :

The actor walks 23ft across the stage before disappearing on the trapdoor.

How far does he walk across the stage?

We need to find the distance between point A and point B using the given diagram.

On the image, we can see that there are two distances representing the same layout, then we can write:

x + 8ft + x + 8ft + x = (26 + 1/2)ft

With that, we can find the value of x (which is the length of the trap doors).

3x + 16ft = (26 + 1/2) ft

We need to solve that linear equation, we will get:

3x = (26 + 1/2) ft - 16ft = (10 + 1/2) ft

3x = (10.5)ft

x = (10.5 ft)/3 = 3.5ft

Now, the distance between point A and point B (according to the diagram) is:

D = x + 8ft + x + 8ft

Replacing the value of x:

D = 3.5ft + 8ft + 3.5ft + 8ft = 7ft + 16ft = 23ft

The actor walks 23ft across the stage before disappearing on the trapdoor.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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