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Answer:

2.4=x

Step-by-step explanation:

So, to solve this, we need to divide a length of one side of one shape by the length of the same side of the opposie shape.

We have several lengths we can use:

4.8 and 4 = 4.8/4= 1.2

3.6 and 3 = 3.6/3 = 1.2

6 and 5 = 6/5 = 1.2

So as we can see, the change or ratio between the two shapes is 1.2

Now lets multiply the 2 on the first shape by the 1.2 ratio to find the x value on the other shape:

2*1.2=2.4

So x=2.4

Hope this helps!

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Explanation:

There's a lot to get lost in here, so I can see why it's intimidating. For me, it helps to focus on a few things at a time and try to build from there.

We only need 4 pieces of info to help find x. I'll circle what we need in the diagram below (see attached image). Note the color coding to see how the terms match up.

Since we have similar figures, the corresponding sides form proportional ratios. This means DE/ST is the exact same as EA/TP. I've indicated this in the diagram as well.

So that's why 2/x = 4/(4.8)

-----------------------

Let's solve for x in the equation below.

2/x = 4/(4.8)

2*4.8 = x*4 ... cross multiply

9.6 = 4x

4x = 9.6

x = (9.6)/4 .... divide both sides by 4

x = 2.4

Therefore, segment ST is 2.4 units long.

-------------------------

Side note: The decimal 2.4 converts to the improper fraction 12/5, which is equivalent to the mixed number 2 & 2/5.

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