Answer:
∠ A = 50°
Step-by-step explanation:
In a parallelogram, consecutive angles are supplementary, sum to 180°
∠ A + 130° = 180° ( subtract 130° from both sides )
∠ A = 50°
To calculate the volume of a prism you multiply the area of it's cross section by the length
Therefore
5 x 3= 15
(Area of the rectangle)
15x8= 120
(Volume of prism)
Extend means to increase, add length to it, ADD.
2.826
+ 1.46
--------------
4.286
Answer:
x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)
Step-by-step explanation:
Solve for x:
2 x^2 - 4 x + 9 = 0
Divide both sides by 2:
x^2 - 2 x + 9/2 = 0
Subtract 9/2 from both sides:
x^2 - 2 x = -9/2
Add 1 to both sides:
x^2 - 2 x + 1 = -7/2
Write the left hand side as a square:
(x - 1)^2 = -7/2
Take the square root of both sides:
x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)
Add 1 to both sides:
x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)
Add 1 to both sides:
Answer: x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)
