FitzwilliamT631683 FitzwilliamT631683

30-10-2022
Mathematics

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If AE = x + 2 and BD = 4x – 16, then the length of ACI is A6 B. 10 C. 12 D. 24

If AE x 2 and BD 4x 16 then the length of ACI is A6 B 10 C 12 D 24 class=

Respuesta :

AarielS790044 AarielS790044

30-10-2022

Remember that

the diagonals in a rectangle are congruent and bisect each other

that means

AE=BD/2

substitute the given values

x+2=(4x-16)/2

solve for x

2x+4=4x-16

4x-2x=4+16

2x=20

x=10

AC=BD=4(10)-16=24

answer is option D

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