Answer:
3, 7, 11, 15, 19, 23, 27,.......
Step-by-step explanation:
Let the first term and the common difference of the AP be a and d respectively.
Therefore,
a + (7- 1) d = 27
a + 6d = 27
a = 27 - 6d...... (1)
Therefore,
a + (12 - 1) d = 47
a + 11d = 47......(2)
From equations (1) & (2)
27 - 6d + 11d = 47
24 + 5d = 47
5d = 47 - 27
5d = 20
d = 20/5
d = 4
Plug d = 4 in equation (1) we find:
a = 27 - 6*4
a = 27 - 24
a = 3
Therefore,
Thus, the sequence is: 3, 7, 11, 15, 19, 23, 27,.......
The sum can be rewritten as y=4x, where y=f(x).
Now, we can rewrite the equation a x=y/4
Therefore, inv(f(x))=x/4
Answer:
No, triangles CDE and HGF are not necessarily congruent.
Step-by-step explanation:
Notice that just having one angle equal in value doesn't make the triangles congruent. To start with, we know that the three internal angles of a triangle must add up to 180 degrees, but all we know when one is 50 degrees, the other two must add up to 130 degrees, which can be done by an infinite number of different angle combinations: 110 + 20, 90 + 40, 80 + 50, etc.
Answer:
16 inches
Step-by-step explanation:
8 x 2 = 16
