pq and pr are opposite rays. If pq is represented by 4x + 26 and pr is represented by 2x+34, find x
Don't know how you can represent a ray by a number. A ray has no length, as it starts at p and goes on forever.
If you mean pq and pr are equal lengths of opposite rays, then
4x+26 = 2x+34
and
x=4
But there was no need to bring rays into the discussion.
To find the value of x in this scenario, we need to set 4x + 26 equal to 2x + 34 because pq and pr are opposite rays and therefore have the same endpoint.
Here's how to solve the equation:
4x + 26 = 2x + 34
First, we can simplify the equation by subtracting 2x from both sides:
4x - 2x + 26 = 2x - 2x + 34
Simplifying further, we get:
2x + 26 = 34
Next, we can isolate the variable term by subtracting 26 from both sides:
2x + 26 - 26 = 34 - 26
Simplifying further:
2x = 8
Finally, we solve for x by dividing both sides by 2:
2x/2 = 8/2
Thus,
x = 4
Therefore, x equals 4.