Answer:
The area of the triangle is basically half the area of the square, so we only need to find the area of the square and divide it by 2:
S = (15 · 15)/2 = 112.5 (square units)
In this case we use intersecting secant theorem
According to this theorem, GF*GE = GH*GA
So,we plug in the values
(x-3)*(x-3+9) =(x-2)*(x-2+6)
(x-3)*(x+6) =(x-2)*(x+4)
x^2 +6x -3x -18 =x^2 +4x -2x -8
x^2 +3x -18 =x^2 +2x -8
x^2 +3x -18 -x^2 -2x +8 =0
x -10 =0
x=10
So,FG =x-3 = 10-3 =7
Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)
Answer:
The significance level for this case would be 
and the critical value for this case would be:
The margin of error is given by:
And replacing we got:
And the margin of error for this case would be 
Step-by-step explanation:
For this case we have the following dataset given:
represent the sample size
represent the estimated proportion of interest
represent the confidence level
The significance level for this case would be and the critical value for this case would be:
The margin of error is given by:
And replacing we got:
And the margin of error for this case would be
