Math, given ABCD is a rectangle. find the
measure of its diagonal if AC=4×-30 AND BD=×

Answer:

It is said that the diagonals of a rectangle are congruent or equal.

So if AC and BD are the diagonals of the given rectangle, then they are congruent.

$\overline{AC} \cong \overline{BD}$

$4x-30=x$

$4x - x = 30$

$3x = 30$

$\frac{3x}{3} =\frac{30}{3}$

$x = 10$

So if the measure of diagonal AC = 4x – 30, then:

$4(10)-30\\40-30 = nderline{\bold{10}}$

$\overline{AC} =\overline{BD}=10$