The sum of all exterior angles for every shape is 360 so just divide 360 by the measurement of one exterior angle (18) to get 20
Answer:
The answer is 20,358,520
Step-by-step explanation:
Selecting 6 numbers from a collection of 52 numbers regardless of order involves a combination.
Note: if regards was taken into order of selection, this would be a permutation.
Hence, the different 6 number selections out of 52 is
52C6 = 52! / [6!*(52-6)!]
= 52!/(6!*46!)
= 20,358,520
Answer:
5
Step-by-step explanation:
1) Solve for the slope(m):
(y2-y1) / (x2-x1)
pick any
(-3 - (-5) )/ (1 - 0)
(-3 + 5) / (1 - 0)
2/1 = 2
2) b(intercept) value is found when x = 0:
x = 0, y = -5,
b = y
b = -5
3) Plug it in:
y = mx + b
y = 2x - 5
4) when the value is 5, x = 5:
y = 2x - 5
y = 2(5) - 5
y = 10 -5 = 5
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
