X = largest, y = smallest
x + y = 38
x = 3y - 2
3y - 2 + y = 38
4y - 2 = 38
4y = 38 + 2
4y = 40
y = 40/4
y = 10
x = 3y - 2
x = 3(10) - 2
x = 30 - 2
x = 28
ur numbers are 10 and 28
Answer:
C. 6
Step-by-step explanation:
Looking at the value of AC, you can assume that it is the same value as CD because it is divided in the middle with a 90-degree angle in which it is 12. Assuming that the line BF is also divided in half, you should divide 12 by 2 in which you get the final answer as 6.
Solution
Part A
The general form of the n-th term = a + (n-1)d
Here we are given the 8th term A8 = 28
, common difference (d) = 6
A8 = a + (n - 1) 6
28 = a + (8- 1)6
28 = a + 7*6
28 = a + 42
a = 28 - 42
a = -14
Part B
n-th term is 760. a = -14 and d = 6.
Plugging in the values in the general form, we get
760 = -14 + (n -1)6
760 = -14 + 6n - 6
760 = -20 + 6n
6n = 760 + 20
6n = 780
Dividing both sides by 6, we get
n = 780/6 = 130
The value of n is 130