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

57,682
I got this by putting the numbers in their place
116 is the answer. hope that helped
Answer:
Angle NKQ is 68 Degrees.
Step-by-step explanation:
With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.
Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.
Since Angle NKQ shares these arcs, we can use the equation:
Big Arc + Small Arc / 2
to get the measure of this angle
(248 - 112) / 2
With this, Angle NKQ is 68 degrees.
Answer:
17 is the simplified answer.
Step-by-step answer:
Given that:
y = 4.
We have to evaluate:
=5 + y + 8
By putting value of y that is y =4 in above equation:
=5 +4 +8
=9 +8
=17
So 17 is simplified answer for this question.
I hope it will help you!