What are the measures of angles 1 and 2?
m< 1 =
m< 2=

m∠1 = 50°

m∠2 =  130°

Step-by-step explanation:

The measure of the angle formed by 2 chords  that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs.

m∠1 = (53+47)/2 = 50°

m∠1 + m∠2 = 180°   ⇒  m∠2 = 180 - m∠1 = 180 - 50 = 130°

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)

positive

step-by-step explanation:

the quadrant is facing upwards