Triangles are similar to each other then the ratio of their corresponding sides is equal to each other then the value of x is 12.
Given
The triangles are similar.
Similar triangles;
In similar triangles, corresponding sides are always in the same ratio.
Here, the given triangles are similar to each other then the ratio of their corresponding sides is equal to each other.
Therefore,
The value of x is;
[tex]\rm \dfrac{6x+28}{25}=\dfrac{96}{24}\\\\\dfrac{6x+28}{25}=4\\\\ 6x+28=25\times 4\\\\6x+28=100\\\\6x=100-28\\\\6x=72\\\\x=\dfrac{72}{6}\\\\x=12[/tex]
Hence, the value of x is 12.
To know more about similar triangles click the link given below.
https://brainly.com/question/12146363
