<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;
Substituting the values, we have;
Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,
Substituting 
and r =15, we get;
Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.
Step-by-step explanation:
3)
(2x-3)(2x+3)
2x(2x+3)-3(2x+3)
4x²+6x²-6x-9
8x²-6x-9
Answer:
22.5
Step-by-step explanation:
All of the angles inside the triangle equals 180. Therefore, the equation is x+2x+5x=180. Then, you solve for x. The final equation should look like 8x=180 And that is how we get.22.5
Answer:
55°
Step-by-step explanation:
One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°
125°+ Unknown acute angle = 180°
Unknown acute angle = 180°-125°
Unknown acute angle =55°
<u>Answer:</u>
If the spool has 10 cm of circumference or perimeter, this means that 10 cm of thread fits the whole circumference of the spool, which also means that
<h2>
1 unwind is equivalent to 10 cm of thread.
</h2>
Then, we have to make the following question:
If 10 cm of thread is equivalent to 1 unwind, to how many unwinds is equivalent 80 cm of thread?
If we want to know how many time does Alex need to unwind the spool, we can use the following relation also called the <u>Rule of Three:
</u>
<u>
</u>
The answer is:
Alex must unwind the spool 8 times in order to get 
cm of thread
