Find the value of x so that f parallel-to g. The diagram is not to scale.
A quadrilateral is formed when two segments are drawn connecting line f to line g. Line f is above line g. The segments are angled in opposite directions. The angle formed by the segment on the left and line f is labeled 3 x. The angle formed by the segment on the left and line g is labeled 5 x plus 36.
(1 point)
Responses
19
19
18
18
17
17
–18
To find the value of x, we need to set the angles formed by the segments equal to each other.
The angle formed by the segment on the left and line f is labeled 3x.
The angle formed by the segment on the left and line g is labeled 5x + 36.
So, we have the equation:
3x = 5x + 36
We can solve this equation for x by subtracting 3x from both sides:
0 = 2x + 36
Next, we can subtract 36 from both sides:
-36 = 2x
Finally, we can divide both sides by 2:
-18 = x
Therefore, the value of x that makes f parallel to g is -18.
To find the value of x so that line f is parallel to line g, we need to set the angles formed by the segments equal to each other.
The angle formed by the segment on the left and line f is labeled as 3x, and the angle formed by the segment on the left and line g is labeled as 5x + 36.
Setting these two angles equal to each other, we get:
3x = 5x + 36
To solve for x, let's subtract 3x from both sides of the equation:
0 = 2x + 36
Next, let's subtract 36 from both sides:
-36 = 2x
Finally, let's divide both sides by 2:
-18 = x
Therefore, the value of x so that line f is parallel to line g is -18.