Each figure is a parallelogram. Use the properties of parallelograms to find the value of x

Finish the equation: 6x+14


Solve the equation and state the value of x.

x=

1 answer

To solve for \( x \) using the properties of parallelograms, we first note that opposite angles and sides of a parallelogram are equal.

Assuming that you are referring to opposite angles or sides that are represented in an equation (though it appears you may need to provide the complete equation), I will give you an example.

Let's say you are comparing two opposite angles in a parallelogram, represented by the equation:

\[ 6x + 14 = 180 \]

  1. Set the equation: \( 6x + 14 = 180 \)
  2. Isolate the term with \( x \):
    • Subtract 14 from both sides: \[ 6x = 180 - 14 \] \[ 6x = 166 \]
  3. Solve for \( x \):
    • Divide both sides by 6: \[ x = \frac{166}{6} \] \[ x = 27.67 \text{ (to 2 decimal places)} \]

Final Result

  • If the equation you are working with is \( 6x + 14 = 180 \), then: \[ x \approx 27.67 \]

If this wasn't the case and you meant something different, please provide additional context or the complete equation.