given that abc def, solve for x

find the ratio of the 2 sides given, 36 & 4
4/36=0.1111
so 54 x 0.1111 = 6
X=6
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
We have been given images of two similar triangles. We are asked to solve for x.
We know that corresponding sides of similar triangles are proportional. So we can set an equation as:
[tex]\frac{x}{54}=\frac{4}{36}[/tex]
[tex]\frac{x}{54}*54=\frac{4}{36}*54[/tex]
[tex]x=\frac{1}{9}*54[/tex]
[tex]x=6[/tex]
Therefore, the value of x is 6.