The ratio of the measures of the three angles in a triangle is 14: 5: 11. find the measure of all the angles

The measure of all the angle are 84°, 30° and 66°.

Step-by-step explanation:

Consider the provided information.

The ratio of the measures of the three angles in a triangle is 14:5:11.

The sum of all the angles of a triangle is 180°.

Let the angle are 14x, 5x and 11x.

Thus, the sum of the angle are 180°

14x+5x+11x=180°

30x=180°

x=6

Thus, the angle are:

14×6=84°

5×6=30°

11×6=66°

Hence, the measure of all the angle are 84°, 30° and 66°.

the answer is n

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)