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frez [133]
3 years ago
8

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics
2 answers:
cricket20 [7]3 years ago
3 0
Line x is the midsegment of the triangle.

5/2= 2.5

I hope this helps!
~kaikers
CaHeK987 [17]3 years ago
3 0

Answer: 2.5

Step-by-step explanation:

Given: The triangles in the picture are similar by the AA Similarity Postulate.

We know that is two triangles are similar triangles then its corresponding sides are proportional [Larger side is proportional to larger side of another triangle or vise versa].

\Rightarrow\frac{x}{5}=\frac{3}{3+3}\\\\\Rightarrow\frac{x}{5}=\frac{3}{6}\\\\\Rightarrow x=\frac{1}{2}\times5\\\\\Rightarrow x=2.5

Hence, the value of x is 2.5 .

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To get the answer, you need to think of it like a see-saw.
Both sides must equal the same relative to 33.5. For example, 32 is 1.5 away from 33.5 so you could say you have 1.5*4 (because theres 4 tubes with 32 sweets). If you were to do this for the whole table, it would look something like this:

(1.5*4)+(0.5*x)=(0.5*9)+(1.5*1)+(2.5*1)

This simplifies to:

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x= \frac{2.5}{0.5}
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This method can sometimes be inefficient depending on how many values but is probably the simplest way to solve this problem.

hope this helps :)

(sorry the other way is kinda hard to explain possibly ask your teacher tomorrow)
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