Answer:
Step-by-step explanation:
For problem 10:
1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)
2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)
3. 9/x=(9+6)/10 (Substitute the given values into this equation)
4. x=6 (Use algebra to solve for x)
For problem 11:
1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)
2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)
3. 14/(14+7)=18/(18+x) (Substitute given values)
4. x=9 (Solve for x)
lmk if there are mistakes in my explanation, hope this helps :)
