Answer:
x=2
Step-by-step explanation:
3(3 - 8x) - 1 = -6x - 28
Distribute
9 -24x -1 = -6x -28
Combine like terms
8 -24x = -6x -28
Add 24x to each side
8-24x+24x = -6x-28+24x
8 = 18x-28
Add 28 to each side
8+28 = 18x-28+28
36 = 18x
Divide each side by 18
36/18 = 18x/18
2 =x
In both cases,

(as a consequence of the interesecting secant-tangent theorem)
So we have
10.





(omit the negative solution because that would make at least one of AB or AD have negative length)
11.




(again, omit the solutions that would give a negative length for either AB or AD)
If you would like to solve for the positive value of x, you can do this using the following steps:
6 * x^2 - 54 = 0 /6
x^2 - 9 = 0
(x - 3) * (x + 3) = 0
1. x = 3
2. x = - 3
The correct result would be x = 3.
Answer:
4 inches
Step-by-step explanation:
Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches