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Kazeer [188]
3 years ago
5

The two triangles are similar what is the value of x? x=___

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

5

Step-by-step explanation:

What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...\frac{\Delta1side}{\Delta1base} =\frac{\Delta2side}{\Delta2base} but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.

\frac{4x}{15}=\frac{3x+1}{12}

Now we cross multiply and solve the equation...

48x=15(3x+1)\\48x=45x+15\\3x=15\\x=5

So the value of x is 5.

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