64. It takes 3 1/3s to make a whole, or 1. 1/3 * 64 = 24
You can't use AAA to prove two triangles congruent because triangles can have the same measures of all its angles but be bigger or smaller, AAA could probably <span>be used to prove two triangles are similar not congruent.</span>
Using the formula of a triangle A=1/2BH, the answer is 49
Answer:
Step-by-step explanation:
<u>Given sequence:</u>
- log x + log√2, 2logx + log 2, 3logx + log2√2, ...
a)
<u>The terms can be rewritten as:</u>
- T(1) = log x + log√2 = log x√2
- T(2) = 2logx + log 2 = 2logx + 2 log√2 = 2log x√2
- T(3) = 3logx + log2√2 = 3logx + 3log√2 = 3log x√2
- ...
- T(n) = n log x√2 (option A)
b)
<u>Sum of the first n terms:</u>
- log x√2 + 2log x√2 + ... + nlog x√2 =
- log x√2(1 + 2 + ... + n) =
- log x√2 (1 + n)*n/2 =
- 1/2n(n + 1)log x√2
<u>Sum of the first 40 terms:</u>
- 1/2*40(40 + 1)log x√2 =
- 820log x√2
