Step-by-step explanation:
BC = AD (opposite sides in parallelogram is equal)
x + 8 = 2x + 1
8 - 1 = 2x - x
7 = x
x = 7
BC = x + 8 = 7 + 8 = 15
Answer:
-1
Step-by-step explanation:
=> -5 + √25 - 4(2)(3) / 4
=> -5 + 1 / 4
=> -4 / 4
=> -1
101 = 100 + 1
102 = 100 + 2
103 = 100 + 3
and so on, and
99 = 100 - 1
98 = 100 - 2
97 = 100 - 3
and so on. Then the -th term of the sum, where , is
We want to compute the sum,
We have
but notice that in the last sum, we're just adding the same number of 1s and -1s together, so its value is 0 and
In case you're not familiar with the formula for the sum of consecutive squares, we can derive it here. Recall that
Notice that
and that
Then
Now consider the cases where is either odd or even.
- If is odd, we can write , where . Then
- If is even, we can write and so
The original sum is obtained by adding the odd- and even-indexed sums together:
Answer:
14
Step-by-step explanation:
(3.5 ÷ 100) × 400 = 14