What is the measurement of angle A to the nearest degree?

∠ A ≈ 51°

Step-by-step explanation:

Using the Sine rule in the triangle, that is

= ( cross- multiply )

9 × sinA = 7 × sin95° ( divide both sides by 9 )

sinA = ≈ 0.7748 , thus

A = (0.7748) ≈ 51° ( to the nearest degree )

answer: the common difference is -0.10

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)