Seudónimo Seudónimo
  • 14-08-2017
  • Mathematics
contestada

Figure ABCD (below) is a kite.



What is the length of line segment CD?

A. 7 units
B. 8 units
C. 28 units

Figure ABCD below is a kite What is the length of line segment CD A 7 units B 8 units C 28 units class=

Respuesta :

choixongdong
choixongdong choixongdong
  • 14-08-2017
3x + 1 = 22
3x = 21
x = 7

CD =  AD = 4x = 4(7) = 28

answer
CD = 28

C. 28 units
Answer Link
SerenaBochenek SerenaBochenek
  • 14-06-2019

Answer:

The length of line segment CD is 28 units.

Step-by-step explanation:

Given the diagram of kite in which

[tex]AB=3x+1[/tex]

[tex]BC=22[/tex]

[tex]AD=4x units[/tex]

As two disjoint pairs of consecutive sides of kite are congruent i.e

AB=BC and AD=DC

[tex]3x+1=22[/tex]

[tex]3x=22-1[/tex]

[tex]x=\frac{21}{3}=7[/tex]

[tex]CD=AD=4x=4\times 7=28 units[/tex]

Hence, the length of line segment CD is 28 units.

Option C is correct.

Answer Link

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