9514 1404 393
Answer:
Step-by-step explanation:
Vertical angles are congruent.
8x = 2x +30
6x = 30 . . . . . . subtract 2x
x = 5 . . . . . . . . divide by 6
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60y -40 = 40y +20
20y = 60 . . . . add 40-40y
y = 3 . . . . . . . .divide by 20
_____
<em>Check</em>
The 'x' angles are 8x° = 8·5° = 40°.
The 'y' angles are (40y+20)° = (40·3+20)° = 140°.
The angles are supplementary, as they are supposed to be.
Answer:
7 peices of wood
Step-by-step explanation:
If you divide the two given numbers together, the you will get the answer of 7. Since they're 35 total pieces of wood and Tyson cut down 5 trees it would mean he took 7 pieces of wood from each tree.
Answer:
50 students
Step-by-step explanation:
20 + 30 = 50
Answer:
1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.
So, if we say that y is her weekly income and x is her weekly sales, we can write this as:
y = 760 + 0.075x
Note that we had to change percentage to decimal number dividing it by 100.
2 Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.
Since this is a function, it can also be written as:
f(x) = 760 + 0.075x
3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).
All this means that appropriate domain for this function are positive real numbers including 0.
Hey there!
We can see we are subtracting 2 every time, and we have 95 terms left fo figure out, so we multiply 95 by 2 and get 190, then subtract that from 15.
15 - 190 = -175, therefore, that's the the 100th term.
Have a terrifcly amazing day!