Answer:
Part 1) The ratio of the areas of triangle TOS to triangle TQR is 
Part 2) The ratio of the areas of triangle TOS to triangle QOP is 
Step-by-step explanation:
Part 1) Find the ratio of the areas of triangle TOS to triangle TQR
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
The scale factor is equal to
TS/TR
substitute the values
6/(6+9)
6/15=2/5
step 2
Find the ratio of the areas of triangle TOS to triangle TQR
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
so

Part 2) Find the ratio of the areas of triangle TOS to triangle QOP
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
The scale factor is equal to
TS/QP
substitute the values
6/9
6/9=2/3
step 2
Find the ratio of the areas of triangle TOS to triangle QOP
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
so

Answer:
Hello!
___________________
2x + (-2x) = 0
Step-by-step explanation: Simplify the expression.
Hope this helped you!
Answer:
The second one
Step-by-step explanation:
B c A
Because B has c and a, which is part of A (A={a, b, c})
Answer: just multiply 9 and y together: 9 x y
Answer:
C
Step-by-step explanation:
This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.
First, we sort the list of numbers. Here is what we get:
64, 66, 67, 68, 69, 74, 75, 76, 78, 79
Here, the stems are the tens digits and the leaves are the ones digits.
Therefore, for the stem 6, the leaves are:
4, 6, 7, 8, 9
For the stem 7, the leaves are:
4, 5, 6, 8, 9
The answer, I believe, is C