Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-

Then, the number of different ways they place first, second, and third :_

Hence, they can place first, second, and third in 120 different ways .
Fraid not. This time, you did it left.
The tool to use is "Vertical" angles are equal. (They don't add up to 180 degrees.)
3y + 120 = 5y + 100
(you should fill in the missing steps)
y = 10°
The upper/lower pair of vertical angles are both 150°.
.
2x = 6x - 60
(you should fill in the missing steps)
x = 15°
The left/right pair of vertical angles are both 30°.
It's any two angles NEXT TO each other that add up to 180°.
Notice here that (150° + 30°) = 180° .
Answer:
See attached
Step-by-step explanation:
When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.
For a linear equation in standard form, ax +by = c
- the x-intercept is: c/a
- the y-intercept is: c/b
- the slope is: m = -a/b
Of course, the slope-intercept form of the equation is ...
y = (slope)·x + (y-intercept)
and the values of the various points on the graph can be computed from that equation.
___
You will note that the last two equations describe the same line.
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<em>Note on spreadsheet formulas</em>
When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.
Answer:
c 44
Step-by-step explanation: