Answer:
D. 7 +11i
Step-by-step explanation:
In many situations, you can treat "i" as though it were a variable. Collect terms in the usual way.
(2 +8i) -(-5-3i) = 2 +8i +5 +3i = (2+5) +(8+3)i
= 7 +11i
Answer: The correct option is C.
Explanation:
It is given that GHIJ is a quadrilateral and HJ, GI are the diagonals of the quadrilateral.
Let GHIJ is a parallelogram.
The opposite sides of the parallelogram are parallel and have same length. The diagonals divides the parallelogram in two equal or congruent parts. Diagonal bisects the angle.
Since JH is a diagonal so triangle JGH and JIH are congruent because,
(common side)
(JH bisects the angle J)
(JH bisects the angle H)
So by ASA rule of congruence triangle JGH and JIH are congruent.
Since GI is a diagonal so triangle GHI and GJI are congruent because,
(common side)
(GI bisects the angle G)
(GI bisects the angle I)
So by ASA rule of congruence triangle GHI and GJI are congruent.
If these triangle are congruent to each other then the we can say that the quadrilateral is a parallelogram.
So, the correct option is C.
Answer:
0 solutions
Step-by-step explanation:
2n + 4 = 4n + 1 - 2n
↑
first combine like terms (right side)
2n + 4 = 2n + 1
but this part you can tell that there's 0 solutions, because both sides have 2n/ same variable with same number.
For this case, the arithmetic sequence is given by:
an = 17n-1
Let's check it:
First week:
n = 1:
a1 = 17 (1) -1
a1 = 17-1
a1 = 16
Second week:
n = 2:
a2 = 17 (2) -1
a2 = 34-1
a2 = 33
Third week:
n = 3:
a3 = 17 (3) -1
a3 = 51-1
a3 = 50
Answer:
the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n is:
an = 17n-1