I am attaching the full question...
Because AB is parallel to CD, the transversal line EF creates the same angles in AB and CD.
This means that 3x+40 = 4x
..........==>> x = 40 degrees
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?
a1=5/2
a2=5/4
a3=5/8
a4=5/16
a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2
an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n
n=8→a8=5/2^8
a8=5/256
Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
Answer:
22
Step-by-step explanation:
since there is a bisector that makes the two angles equal. you first need to find x then with x you can add the angles to get the biggest angle witch is RMQ
2x+1 = 4x-9
1=2x-9
10=2x
5=x
x=5
RMQ=2x+1+4x-9
RMQ=2(5)+1+4(5)-9
RMQ=10+1+20-9
RMQ=11+11
RMQ=22
RMQ=16
(x^2)+4x-12=48
I Hope this is what you were looking for. If it isn't this just plug it in
x=6
