Answer:
615
Step-by-step explanation:
The ratio of the given terms can be used to find the common ratio between terms:
a5/a2 = (a1·r^(5-1))/(a1·r^(2-1)) = r^3 = 768/-12 = -64
r = ∛-64 = -4
So the first term is ...
a1 = a2/r = -12/-4 = 3
And the first 5 terms of the series are ...
3 + (-12) + (48) + (-192) + 768 + ...
The sum of the first 5 terms is 615.
Here, angle 1 and angle 2 are congruent (as they are equal in magnitude ) because they are a pair of corresponding angles (as they are at same location on transversal line)
In short, Your Answer would be Option B
Hope this helps!
A knitter with 14 skeins of yarn can make 7 scarves
Explanation:
We can use a proportion to solve this
4 skeins of yarn
-----------------------
2 scarves
That is the information we know. What we want to do is find out how many scarves for 14 skeins of yarn, like this
4 14
-- = ---
2 ?
To get from 4 to 14, you multiply by 3.5. We must to the same thing to the bottom as well. So we multiply 2 by 3.5, which gives us 7
x3.5
4 14
-- = ---
2 7
x3.5
First you subtract 3 years from the sum of Mr. Richards' and Mr. Edwards' age because Ms. Richards is 3 years older than Mr. Richards. Then divide 78 by 3 because 2/3's of the years will go to Mr. Edwards and 1/3 of the years to Mr. Richards since he is double the age of Mr. Richards. So 78÷3=26 that gives you 26 and the remaining years are 52. Therefore, Ms. Pacheco is 29, Mr. Richards is 26 and Mr. Edwards is 52