Question

Need help with this math problem

Answer 1

Answer:

$x=16$

 Lenght of the equal sides: $71\ units$

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:

$9x-73=3x+23$

Solving for "x", you get this value:

$9x-3x=23+73\\\\6x=96\\\\x=\frac{96}{6}\\\\x=16$

Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:

$3(16)+23=71\ units$