Answer:
Option (1)
Step-by-step explanation:
By the inscribed angle theorem inside a circle,
"Measure of an inscribed angle is half the measure of the intercepted arc"
[m(arc AB)] = m(∠ABC)
m(arc AB) = 2[m(∠ABC)]
x = 2(41°)
x = 82°
Option (1) is the correct option.
Answer:
x = 6/5 or x = -2
Step-by-step explanation:
We need to solve:
|5x+2|=8
We know that |u|=a the u = a and u = -a
Now solving:
|5x+2|=8
5x +2 = 8 or 5x +2 = -8
5x = 8-2 or 5x = -8-2
5x = 6 or 5x = -10
x = 6/5 or x = -10/5
x = 6/5 or x = -2
So, x = 6/5 or x = -2
Answer:

Step-by-step explanation:
She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤
Each folder is $2.15, so you are going to multiply: 2.15 × f
Each notebook is $4.60, so you will multiply: 4.6 × n
You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.
Make the equation:

:Done
Answer: 121871
Step-by-step explanation:
Current population = 98000
Rate of increase = 3.7% / year
Total time = 2020 - 2014 = 6 years
Population in 2020 = 98000 * (1+ (3.7/100))^6
= 98000 * (1.037)^6 = 98000 * 1.243576 = 121870.505
Rounding off to nearest whole number we get the population = 121871