In ΔVWX, \text{m}\angle V = (4x+3)^{\circ}m∠V=(4x+3) ∘ , \text{m}\angle W = (x+7)^{\circ}m∠W=(x+7)

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

Hey!

Alright, let's take a look at this problem.
The first step would be to rearrange the equation. To do that we will group the like elements.

Original Equation :
7x - 8 - 3x - 4

New Equation {Changed by Grouping Like Elements} :
7x - 3x - 4 - 8

Next, we'll add both the 7x and 3x since they both contain variables.

Old Equation :
7x - 3x - 4 - 8

New Equation {Changed by Adding Similar Elements} :
4x - 4 - 8

Again, we'll add the other similar elements in the equation.

Old Equation :
4x - 4 - 8

New Equation {Changed by Adding Similar Elements} :
4x - 12

Our equation can no longer be simplified any farther, so we have our final answer.

The equation 7x - 8 - 3x - 4 simplified is  4x - 12.

Hope this helps!

- Lindsey Frazier ♥