Answer:
<u>Arc Measure</u>: equal to the measure of its corresponding central angle.
<u>Formulas</u>



<h3><u>Question 39</u></h3>
Given:
- r = 7 in
= 90°
Substitute the given values into the formulas:
Arc AB = 90°


<h3><u>Question 40</u></h3>
Given:
- r = 6 ft
= 120°
Substitute the given values into the formulas:
Arc AB = 120°


<h3><u>Question 41</u></h3>
Given:
- r = 12 cm
= 45°
Substitute the given values into the formulas:
Arc AB = 45°


Solution:
iv) Given equation: 
Since we are given two variables, we need to split the original expression into two quadratic expressions as

Factoring x first:

= 
= 

Factoring y now:

= 
= ![-1[ y(y+1) + 1(y+1)]](https://tex.z-dn.net/?f=-1%5B%20y%28y%2B1%29%20%2B%201%28y%2B1%29%5D)
= ![-1 [(y+1)(y+1)]](https://tex.z-dn.net/?f=-1%20%5B%28y%2B1%29%28y%2B1%29%5D)
= 
Therefore, the original expression becomes

Let's solve it step-by-step.
5+ 2a/-3= 5/11
Step 1: Simplify both sides of the equation.
5+ 2a/-3= 5/11
-2/3a+5=5/11
Step 2: Subtract 5 from both sides.
-2/3a+5-5=5/11-5
-2/3a=-50/11
Step 3: Multiply both sides by 3/(-2).
a=75/11
So, the answer is a=75/11.
Answer:
n = 60°
Step-by-step explanation:
60° + n + 60° = 180° ( straight line angles)
-> n + 120° = 180°
-> n = 180° - 120°
-> n = 60°