Solve the equation for x. if a solution is extraneous, be sure to identify it in your final answer. + 8 = x

(17+√553)/2

and

(17-√553)/2

Step-by-step explanation:

Subtract 8 from both sides. This leaves you with

sqrt(x-2) = x-8. Square both sides to get rid of the sqrt,

leaving x-2=(x-8)^2

expanding gives x-2=x^2-16x+64

subtract x from both sides leaves

-2=x^2-17x+64

add 2 to both sides

x^2-17x+66=0

this cannot be factored, however, there are other techniques.

Completing the square is a bit annoying, so I will use the quadratic formula, to give the answer.

This gives you:

(17+√553)/2

and

(17-√553)/2

Hope this helps!

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.