Answer:
60
Step-by-step explanation:
4/3 = x/45
45/3=15
15*4=60
x=60
Answer:
Step-by-step explanation:
angle A = 40
angle B = 60
angle C = we don't know.
A + B + C = 180
C = 180 - A - B
C = 180 - 40 - 60
C = 80
40 + 60 + 80 = 180
180 = 180...It checks!
The one with the word bank is in this order, right angle, acute angle, straight angle and then obtuse then you try to guess an estimate a right angle is always a 90 degree angle and a straight angle is always 180 degrees the given part of the angle would be subtracted by 180 for example 180-130 which means X= 50 degrees
Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.
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)
