Answer:
20°
Step-by-step explanation:
A triangle = 180°
∴ 180° -120°-40°
=20°
The answer would be a reflection over the x axis then a translation down 4 units. Yes the shapes are congruent as they will lay on top of one another
Answer:
$12.49
Step-by-step explanation:
The price right now = 0.8 * the original price
9.99 = 0.8*x
x=12.4875
x≈12.49
Sorry, I thought your problem meant that it was 20% the original price, not 20% off.
Answer:
The required probability is 
Step-by-step explanation:
The probability of obtaining a defective item from container 1 is 
The probability of obtaining a good item from container 1 is 
The probability of obtaining a defective item from container 2 is 
The probability of obtaining a good item from container 2 is 
The cases of the event are
1)Defective item is drawn from container 1 and good item is drawn from container 2
2)Defective item is drawn from container 2 and good item is drawn from container 1
Thus the required probability is the sum of above 2 cases

Answer:
The intersection point of the given lines is (1,1).
Step-by-step explanation:
Here, the given equations are:
y = - 2 x + 3
y = x
Substitute y = x in the first equation,
y = -2 x + 3 becomes y = -2 (y) + 3
or, y + 2 y = 3
or, 3 y = 3 ⇒ y = 3/3 = 1
⇒ y = 1
Now, as x = y ⇒ x = 1
Hence, the intersection points of the given lines is (1,1).