Answer: There would be 9 possibilities.
Step-by-step explanation:
Given : The number of regions in the spinner = 3
if we spin the spinner twice, then by using fundamental principal of counting , the number of possibilities is given by :-

Therefore, there would be 9 possibilities.
- The Fundamental Counting Principle is a method to calculate the number of possibilities by multiplying the events together to get the total number of possibilities.
Answer:
Q1: p = - 33
Q2: d = - 99
Q3: t = - 13
Step-by-step explanation:
Q1: 
We solve this taking LCM.
We get: 


Q4: 
Again we proceed like Q1 by taking LCM.
We get: 



Q7: 5t + 12 = 4t - 1
We club the like terms on either side.



Hence, the answer.
Since the sum of the measures of the angles exceed 180 degrees, 90 + 45 + 50 = 185 degrees, these measurements cannot make a triangle.
LETTER B
Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.