The sum of complementary angles is 90 degrees, thus
3x + 6 + 3x + 18 = 90
=> 6x + 24 = 90
=> 6x = 90 - 24 = 66
=> x = 66 / 6 = 11
=> m<A = 3(11) + 6 = 33 + 6 = 39 degrees.
You have one of the answers correct. The fraction 4/8 is equal to 1/2
Other answers are: 5/10, 10/20, and 6/12
If you reduced each of those fractions, you'd get to 1/2.
You can use a calculator to find that
4/8 = 0.5
1/2 = 0.5
5/10 = 0.5
10/20 = 0.5
6/12 = 0.5
All fractions mentioned lead to the same decimal value, so this confirms all of the fractions are equivalent to one another.
Answer: 45
Step-by-step explanation:
Answer:
Step-by-step explanation:
Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for 
(even terms) , while the odd terms 
are negative. (so most likely there should be a factor (-1) in the common ratio.
We can then represent it with the following summation expression:
given that each of its first four terms are:
