Answer:
∠WVU = 67°
Step-by-step explanation:
∠WVU = 1/2(arc WV)
8x + 11 = 1/2(15 + 17x)
8x + 11 = 7.5 + 8.5x
subtract 7.5 and 8x from each side of the equation:
0.5x = 3.5
multiply both sides by 2:
x = 7
∠WVU = 8(7) + 11 = 67°
proof:
arc WV = 15 + 17(7) = 134° which is 2 x 67°
Answer:
C
Step-by-step explanation:
The answer is C because it is the only one where any combination of 2 sides will add up to be greater than the other sides.
Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
==============================================
Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
Answer:
y = -3
Step-by-step explanation:
A horizontal line has all the same y values, but changing x values
y must equal -3 all the time if it goes through (3,-3)
y = -3
