Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so
Answer:
60
Showing-MY-Work:
4 months is 1/3 of a year. (12 months = 1 year)
Since know that they became 20, after 4 years, then we just times 20 by 3.
Because 3 times 4 = 12
20 times 3 = answer you're looking for
Answer:
4a^2
Step-by-step explanation:
Therefore, the largest common factor is 4a^2. Hope this helps!
The answer is: [C]: " ∡<em>C</em> ≅ ∡<em>X</em> ; ∡<em>D</em> ≅ ∡<em>Y</em> ; ∡<em>A</em> ≅ ∡<em>Z</em> " .
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Answer:
x = 20 but see below.
Step-by-step explanation:
Remark.
This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.
A = D
3x - 10 = 2x + 10 Add 10 to both sides
3x - 10 + 10 = 2x + 10 + 10 Cancel
3x = 2x + 20 Subtract 2x from both sides
3x-2x=2x-2x + 20
x = 20
A = E
If A = E then to find x you have to add 3 angles together.
E + D + 45 = 180 Add the three angles of the triangle
E + D = 180 - 45 Subtract 45 from both sides
E + D = 135 Substitute for D and E
3x - 10 + 2x + 10 = 135 Combine like terms
5x = 135 Divide by 5
x = 135 / 5
x = 27
Answer
I'd go with the first one.
