Find the value of x.
[tex]\large\bold\blue{\tt{GIVEN:}}[/tex]
AC = 4x and BD = 2x+16
[tex]\large\bold\blue{\tt{SOLUTION:}}[/tex]
The figure above is a parallelogram and the given are its diagonals. The properties of a parallelogram states that its diagonals are congruent. Thus, we can come up with an equation:
[tex] \huge \tt 4x = 2x + 16[/tex]
Using the equation, let's solve for the value of x
[tex] \large \tt 4x = 2x + 16 \\ \\ \large \tt 4x - 2x = 16 \\ \\ \large \tt 2x = 16 \\ \\ \large \tt \frac{2x}{2} = \frac{16}{2} \\ \\ \large { \boxed{ \tt {x = 8}}}[/tex]
[tex]\large\bold\blue{\tt{FINAL\:ANSWER:}}[/tex]
[tex]\Huge\bold\red{\boxed{\tt{C.x=8}}}[/tex]
