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Find the value of x.  Please help!

 

 Aug 29, 2020
 #1
avatar+1039 
+1

The notation "~" means similar. This can help with the problem.

 

First, we need to find the scale factor of the two triangles. This is 30 / 18 = 5 / 3 (to get from the smaller triangle to the bigger one)

 

Therefore, we can say that:

 

5 / 3(x + 1) = 2x - 1

5 / 3 x + 5 / 3 = 2x - 1

5 / 3 = 1 / 3 x - 1

8 / 3 = 1 / 3 x

x = 8

 

We can also prove this backwards (AKA check our work)

 

2(8) - 1 = 15

x + 1 = 9

5 / 3 (9) = 15

 

And, we can see that our answer is right! (more of "my" answer, but "our" just sounds less narcissistic than "my": unless you already solved the problem, and got the same answer, but I doubt that since you posted this question)

 

:)

 Aug 29, 2020

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