Answer: - 7.2 , 2.6 , 12.4 and 22.2
Step-by-step explanation:
Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:
-17 , p , q , r , s , 32
The first term (a ) = -17
Last term (L) = 32
common difference (d) = ?
number of terms (n ) = 6
We will use the formula for calculating the last term to find the common difference. That is
L = a + (n - 1 ) d
Substituting the values , we have
32 = -17 + (6-1) d
32 = -17 + 5d
32 + 17 = 5d
49 = 5d
Therefore: d = 9.8
We can therefore find the values of p , q , r , and s
p is the second term , that is
p = a + d
p = -17 + 9.8
p = -7.2
q = a + 2d
q = - 17 + 19.6
q = 2.6
r = a + 3d
r = - 17 + 29.4
r = 12.4
s = a + 4d
s = - 17 + 39.2
s = 22.2
Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2
Answer:
x = 40
Step-by-step explanation:
The ADF is 90 degrees so the CAF will also be 90
So you do
( x + 15 ) + 90 + 35 = 180
x + 15 + 90 + 35 - 90 = 180 -90
x + 15 + 35 = 90
x + 15 + 35 - 35 = 90 - 35
x + 15 = 55
x + 15 - 15 = 55 - 15
x = 40
add all the angles and make them equal to 360
88 + 108 + (3x-6) + 2x = 360
196 + 5x -6 = 360
190 + 5x = 360
5x = 170
x = 34 = answer
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