Answer:
2
Step-by-step explanation:
Since triangles ABC and ADE are similar by AA (they share angle A and a right angle), their ratio of sides must be equal. Therefore:
[tex]\dfrac{1}{2}=\dfrac{2}{x+2}[/tex]
Multiply both sides by 2:
[tex]1=\dfrac{4}{x+2}[/tex]
Multiply both sides by x+2:
[tex]x+2=4[/tex]
Subtract 2 from both sides:
[tex]x=2[/tex]
Hope this helps!
