In the diagram below, find the value of y

y = 130°

Step-by-step explanation:

4x + 8 + x + 7 + 3x - 19 = 180 (all angles in a triangle add upto 180)

8x = 184

x  = 23°

3x - 19 + y = 180 (supplementary = 180)

sub x = 23 into equation

50 + y = 180

y = 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)

answer: rolling a number cube and flipping a coin.

step-by-step explanation: