Answer:
x = 5
Step-by-step explanation:
a) The third interior angle of this triangle is 180 - 20 x.
The three interior angles must sum up to 180 degrees.
Therefore, 60 + 7x + 5 + 180 - 20x = 180, or
65 + 180 - 13x = 180, or
65 - 13x = 0
Finally, 13x = 65, and so x = 5
Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
Answer:
3 feet
Step-by-step explanation:
Answer:
28/3
Step-by-step explanation:
2 1/3 divided by 1/4
We’ll start by 2 1/3
Multiply 3 x 2 and then add 1
3 x 2 = 6 + 1 = 7
Then add the denominator back
7/3
Now divide 7/3 by 1/4 like this!
Start by multiplying 4 by 7
4 x 7 = 28
Then multiply 3 by 1
3 x 1 = 3
Final results: 28/3
