What is m A) 39°
B 52°
C 78°
D 141°

A

Step-by-step explanation:

The inscribed angle FGH is half the measure of its intercepted arc FH

arc FH = 360° - arc GF - arc HG = 360° - 115° - 167° = 78° , then

∠ FGH = × 78° = 39° → A

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)