9514 1404 393
Answer:
Step-by-step explanation:
Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:
<u>top and bottom</u>
8x +7 = 9x -4
11 = x . . . . . . . . . . add 4-8x to both sides
<u>left and right</u>
7y -34 = 5y
2y = 34 . . . . . . . . add 34-5y to both sides
y = 17 . . . . . . . divide by 2
_____
<em>Additional comment</em>
As a check on the integrity of the problem, we can see if these angles form linear pairs.
8x+7 = 8·11+7 = 95
5y = 5·17 = 85
95 +85 = 180 . . . . . . angle values have the expected relationship
C, D, and E would all be Statistical Questions.
Answer:
3people/minute
Step-by-step explanation:
75/25=3
Explanation:
The formula for getting the ROI or Return of Investment is:
In the problem, the initial value is $15,500 while the final value is $12,500.
Plugging these data into the formula above, we get:
Then, simplify.
Answer:
The total return on Jill's investment is -19.4%.
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 =
/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7
/6
360-3=330 = 11
/6