Answer:
Step-by-step explanation:
The angles forming a straight angle are supplementary.
We have angles APC and DPB forming a straight angle with adjacent angle to both (either angle APD or CPB).
It means the correct choice is D.
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
I'm like girl do you have plans. Can't keep my heart in your hands. She kicked me out I'm like vro.
Answer:
3 km per minute
Step-by-step explanation:
speed = distance / time
315km/105 minutes
= 3 km per minute
Answer:
12 3/8
Step-by-step explanation:
A = 2 3/4 x 4 1/2
best way is to change mixed numbers to fractions and multiply and then go back to a mixed number.
11/4 x 9/2 = 99/8 = 12 3/8
