5. Lines p and q are parallel, and line w is a transversal. Which angle is not congruent to angle 1? ​

∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.

Step-by-step explanation:

From the picture attached,

p and q are the parallel lines and w is a transversal.

∠1 ≅ ∠3 [Vertically opposite angles]

∠1 ≅ ∠5 [Corresponding angles]

∠1 ≅ ∠7 [Alternate exterior angles]

Therefore, ∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)