Need help with this math problem
Answer:
[tex]x=16[/tex]
Lenght of the equal sides: [tex]71\ units[/tex]
Step-by-step explanation:
You can observe in the picture that the triangle have two angles that have equal measure; therefore, it is an Isosceles triangle.
By definition, Isosceles triangles have two equal angles and two equal sides.
Based on this, you can write the following equation:
[tex]9x-73=3x+23[/tex]
Solving for "x", you get this value:
[tex]9x-3x=23+73\\\\6x=96\\\\x=\frac{96}{6}\\\\x=16[/tex]
Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:
[tex]3(16)+23=71\ units[/tex]