Answer:
29
Step-by-step explanation:
Since a and c in this equation are perfect squares, you know that the value of the factored form is going to be the (sqrt of a*d added to the sqrt of 81)^2, making(d+9)^2
3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2
Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2
Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10
Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2
The two angles are verticals angles so they are congruent, so you can solve for x by writing and solving an equation
6x-82=3x-23
Combine like terms
3x=105
And simplify to get x=35