What is the value of x if the measure of arc QS is represented as 4x + 18?

To find the value of x, we need to set up an equation based on the information given about the measure of arc QS.

The measure of arc QS is expressed as:

4x + 18

In many cases, the measure of an arc can be equated to a specific value if that context is provided (like in a circle). However, since no specific total is given for the measure of arc QS in this case, we’ll proceed by isolating the variable x based on the expression provided.

We need to solve the equation:

4x + 18 = 0 (if we’re assuming an arc of 0 degrees)

To solve for x:

  • First, subtract 18 from both sides:
  • 4x = -18
  • Next, divide by 4:
  • x = - rac{18}{4}
  • Which simplifies to:
  • x = -4.5

However, if you have another context or total measure for the arc (like if given it equals a certain degree like 90 degrees, 180 degrees, etc.), you would set 4x + 18 equal to that measure instead.

In summary, the calculated value of x based on the assumed equation is:

x = -4.5

Feel free to provide additional context if there’s a specific measure for arc QS that you’re considering!

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