Answer:
- Q9 - B) 8
- Q10 - D) 4.5
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<h2>Question 9</h2>We have a diagram and need to find the number of routes without repeat paths:
or
We can see that there is one route from A to B, two routes from B to C and two routes from C to A. This is same on reverse order.
This gives us the number of routes:
Total number is:
The matching answer choice is B
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<h2>Question 10</h2>From the given we can observe that:
ABC and DCE are similar triangles, since they have same angle at vertex E (vertical angles are equal) and both are right triangles.
From similarity we get same ratio of corresponding sides:
We can find areas of triangles ACD and ECD and subtract to get the area of triangle AEC:
As per ratio of corresponding sides:
As per segment addition:
From the two equations above we get:
Now, the required area is:
This is matching the answer choice D