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


Sagot :

Answer:

10

Explanation:

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.

[tex]\overline{AC} \cong \overline{BD}[/tex]

[tex]4x-30=x[/tex]

[tex]4x - x = 30[/tex]

[tex]3x = 30[/tex]

[tex]\frac{3x}{3} =\frac{30}{3}[/tex]

[tex]x = 10[/tex]

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

[tex]4(10)-30\\40-30 = \underline{\bold{10}}[/tex]

[tex]\overline{AC} =\overline{BD}=10[/tex]