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Find the value of x.
AC=4x and BD=2x+16
a.2 b.4 c.8 d.16



Find The Value Of X AC4x And BD2x16a2 B4 C8 D16 class=

Sagot :

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]