Answer: 4 cm and 11 cm.
Step-by-step explanation:
1. You can calculate the perimeter of a parallelogram as following:

Where a+b+c+d are the lenghts of the sides.
By definition the parallelogram has two pairs of parallel sides, therefore:
a=c and b=d
Then, you can calculate the perimeter as following:
2. Let's call the adjacent side
, then the other side is 2x+3.
3. Substitute values and solve for x:

4. Then the lenghts of the sides are:

Answer:
Step-by-step explanation:
We know the rhombus has perpendicular diagonals and the diagonals bisect each other.
The diagonals are AD and BC.
- <em>Note. The points C and D should have swapped coordinates. This becomes ABDC.</em>
<u>The midpoint of BC is:</u>
- ([3 + 2]/2,[4 + 1]/2) = (2.5, 2.5)
<u>Use A(x, y) and midpoint formula for the other diagonal AD:</u>
- (x + 4)/2 = 2.5 ⇒ x + 4 = 5 ⇒ x = 1
- (y + 2)/2 = 2.5 ⇒ y + 2 = 5 ⇒ y = 3
Point A has coordinates (1, 3)
Correct choice is B
See the picture
Answer: z^5=1.732051i+1
Step-by-step explanation:
Slope formula

Plug in the info given from the 2 coordinates:

Simplify the slope:
<span>
Final answer: </span>
Slope=1/3