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.
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
1 answer