144k views
0 votes
Solve for x using the diagram. (Simply your answer)

Solve for x using the diagram. (Simply your answer)-example-1
User Yermy
by
3.6k points

1 Answer

4 votes

Answer:

x=6

Explanation:

The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).

Since, they're similar, the sides are in ratio to eachother:


(x+(x+3))/(8+12) = (x+3)/(12)

12(2x+3)=20(x+3)

24x+36=20x+60

4x=24

x=6

User Gregmacfarlane
by
3.8k points