Answer:
a19 = -71.74
Step-by-step explanation:
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
The given 5th and 15th terms tell us ...
-3.7 = a1 +d(5 -1)
-52.3 = a1 +d(15 -1)
Subtracting the first of these equations from the second, we find ...
10d = -48.6
d = -4.86 . . . . . . divide by 10
The 19th term will be ...
a19 = a1 +d(19 -1)
Subtracting the 15th term from this, we find ...
a19 -a15 = 4d
a19 = 4d +a15 = 4(-4.86) +(-52.3)
a19 = -71.74
Answer:
11
Step-by-step explanation:
The diagonals in a rectangle are the same length.
WY = XZ
6x -7 = 3x +2
3x -7 = 2 . . . . . . subtract 3x
3x +2 = 11 . . . . . .add 9 to match the expression for XZ
The length of each diagonal is 11 units.
_____
Note that we took a little shortcut to the solution. We don't actually need to know the value of x. We only need to know the value of one of the expressions for diagonal length. The expression containing "3x" is the most convenient to determine.
Answer:
the answer of this question is = 194.53