In ΔVWX, \text{m}\angle V = (4x+3)^{\circ}m∠V=(4x+3) ∘ , \text{m}\angle W = (x+7)^{\circ}m∠W=(x+7) ∘ , and \text{m}\angle X = (5x+0)^{\circ}m∠X=(5x+0) ∘ . What is the value of x?X?

The value of x is 17

Step-by-step explanation:

The sum of the angles in a triangles is 180°

From the question:

In ΔVWX,

m∠V=(4x+3) ∘

m∠W=(x+7) ∘

m∠X=(5x+0) ∘ .

Hence:

m∠V + m∠W + m∠V = 180°

4x + 3 + x + 7 + 5x + 0 = 180°

Collect like terms

4x + x + 5x + 3 + 7 + 0 = 180°

10x + 10 = 180°

Subtract 10 from both sides

10x + 10 - 10 = 180° - 10

10x = 170

Divide both sides by 10

10x/10 = 170/10

x = 17

The value of x is 17

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)

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743