Answer:
D
Step-by-step explanation:
we can find x/y by multiply 3a/b * 3a/b
x/y = 9a^2/b^2
The defining characteristic of all geometric sequences is a common ratio which is a constant when dividing any term by the term preceding it.
In this case the common ratio is: -6/9=4/-6=r=-2/3
An infinite series will have a sum when r^2<1, so in this case the sum will converge to an actual value because (-2/3)^(+oo) approaches zero.
The sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r), since we have a common ratio of -2/3 and we want to calculate an infinite series, ie, n approaches infinity, the sum becomes simply:
s(n)=a/(1-r) (because (1-r^+oo) approaches 1 as n approaches +oo)
So our infinite sum is:
s(+oo)=9/(1--2/3)
s(+oo)=9/(1+2/3)
s(+oo)=9/(5/3)
s(+oo)=27/5
s(+oo)=54/10
s(+oo)=5.4
It is: 180(n-2)
For example, the sum of the interior angles of a triangle is 180 degrees.
The quadrilateral can be cut into two triangle so the sum of the interior angles of a quadrilateral is 180*2=180*(4-2)
The pentagon can be cut into three triangle so the sum of the interior angles of a pentagon is: 180*3=180*(5-2)
The hexagon can be cut into four triangle so the sum of the interior angles of a hexagon is: 180*4=180*(6-2)
Hello,
(6x+13)+(3x-4)=180
9x+9=180
9x=171
x=19
angle QRS measures 3x-4=3*19-4=53(°)
Answer:
,
etc.
Step-by-step explanation:
Multiply the top and bottom of 
by the same number to get an equivalent fraction.
