Answer:
[tex]x=2.1[/tex]
Step-by-step explanation:
We have been given that triangle ABE is similar to triangle ACD. We rae asked to find the value of x.
We will use proportions to solve for x as similarity states that corresponding sides of two similar figures are proportional.
[tex]\frac{x}{CD}=\frac{AB}{AC}[/tex]
Upon substituting our given values in above proportion, we will get:
[tex]\frac{x}{3.5}=\frac{3}{5}[/tex]
[tex]\frac{x}{3.5}*3.5=\frac{3}{5}*3.5[/tex]
[tex]x=3*0.7[/tex]
[tex]x=2.1[/tex]
Therefore, the value of x is 2.1.
