Answer:
x=7
Step-by-step explanation:
The diagram shows us that the two lines at the base of the triangle are congruent. It also shows us that this line's perpendicular bisector passes through the third vertice of the triangle. When we see triangles in this form, it tells us that it is an isosceles triangle. Isosceles triangles have two congruent side lengths with their base having a different side length.
Using this information, we can tell that the side lengths that are congruent are the ones involving x with the base of the triangle having a side length of 46 units (23+23=46). Therefore, this means that the following equation is true:
6x+18=3x+39
Now, we can solve for x.
6x+18=3x+39
Subtract both sides by 18
6x+18-18=3x+39-18
6x=3x+21
Subtract both sides by 3x
6x-3x=3x+21-3x
3x=21
Divide both sides by 3
3x/3=21/3
x=7
I hope this helps!
