Answer:
A,B,D
Step-by-step explanation:
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Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
3/1
Step-by-step explanation:
By the isosceles triangle theorem the two angles opposite the equal sides are themselves equal while if the third side is different then the third angle is different.
Answer:
y = 16 + 3/11
x = -76/11
Step-by-step explanation:
2y - 5x = -2
3y + 2x = 35
__________
(2y - 5x = -2)*3
(3y + 2x = 35)*2
__________
6y - 15x = -6
6y +4x = 70
__________
(6y - 15x = -6) - (6y +4x = 70)
15x - 4x = -6 -70
__________
11x = -76
x = -76/11
__________
3y +2(-76/11) = 35
3y = 35 + 152/11
3y = 13 + 35 + 9/11
3y = 48 + 9/ 11
y = 16 + 3/11