15x would be the vertical angle of 16x -8 and since vertical angles are equal, then 15x = 16x -8.
15x = 16x -8
x = 8 and so the angle 15x = 15 * 8
which equals 120 degrees.
Answer:
The answers are a, and d
Step-by-step explanation:
5(10+6) = 50x+30 or 30+50x.
Answer:
He must lose 4.4 pounds per week.
Step-by-step explanation:
Buffalo Bill currently weighs 202 lb. He wants to weigh 180 lbs for his reunion.
This means that he needs to lose 202 - 180 = 22 lb.
35 days from today.
Each week has 7 days. So this is 35/7 = 5 weeks from now.
How many pounds per week must he lose?
22 pounds in 5 weeks, that is 22/5 = 4.4 pounds per week.
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.
