Answer:
x = 34°
Step-by-step explanation:
To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.
We can set up a simple algebraic equation to solve for 'x':
180 = x + 12 + 100 + x
180 = 112 + 2x **Combine like terms
68 = 2x **Divide both sides by '2'
x = 34°.
Therefore, the measure of ∠x = 34°.
Her credits need to be AT LEAST EQUAL TO OR GREATER THAN 144 (credit hours) so we can eliminate choices B and D.
She already completed 4 semesters in which she receives 15 credit per semester.
This expression can be written as 4(15).
She needs to do a certain remaining hours of credit which can be represented by c and only c without any other coefficient.
So, the most reasonable choice here is A.
Answer:
The answer to your question is 48 chairs
Step-by-step explanation:
Data
5 rows- 3 chairs left over
3 rows - 21 chairs left over
Process
1.- Write two equations each for each situation
x = number of rows
y = number of chairs
Equation 1 y = 5x + 3
Equation 2 y = 3x + 21
2.- Solve the system by equality
5x + 3 = 3x + 21
5x - 3x = 21 - 3
2x = 18
x = 18/2
x = 9
3.- Find the total number of chairs
y = 5(9)+ 3 y = 3(9) + 21
y = 45 + 3 y = 27 + 21
y = 48 y = 48
4.- Conclusion
There are 48 chairs
