Only 4 because the only way he cant get a pair is if he picks up a different colour to the previous sock, so by the fourth he will have picked up at two of at least one colour
Answer:
???????
Step-by-step explanation:
triangles add to 180 degrees
lets call the unknown angle y
82 + x + y = 180
we also know that y + (2x-20 ) = 180 because it is a straight line
lets solve this for y
y + (2x-20 ) = 180
subtract (2x-20) from each side
y = 180 - (2x-20)
y = 180 - 2x + 20
y = 200 -2x
substitute this in the triangle equation
82 + x + y = 180
82 + x + 200 -2x = 180
combine like terms
282 -x = 180
subtract 282 from each side
-x = -102
multiply by -1 on each side
x = 102
the exterior angle is 2x-20
exterior angle is 2(102) -20
exterior angle is 204-20
exterior angle is 184
This is impossible.
There is a mistake with this problem
The triangle is not a triangle. Angle y would be negative. y=-4
Answer: 32 dollars
Step-by-step explanation: 24 / 6 = 4, 24 + 4 + 4 = 32
The original number is 72
(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72
Answer:
Point B = (-8 , -2) ⇒ the second answer
Step-by-step explanation:
∵ The figure ABCD is reflected across the x-axis
∴ The sign of y-coordinates of each point will change
Ex: If the point (x , y) reflected across the x-axis
its image will be (x , -y)
∵ B' = (-8 , 2)
∴ B = (-8 , -2) ⇒ the second answer
