tylercouvion
tylercouvion tylercouvion
  • 12-07-2016
  • Mathematics
contestada

Given that ABCD is a rhombus, find x.
A.-2
B.2
C.12
D.24

Given that ABCD is a rhombus find x A2 B2 C12 D24 class=

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dalendrk
dalendrk dalendrk
  • 12-07-2016
If ABCD is a rombus then |AB| = |CB|.

8x - 13 = 7x + 11    |+13
8x = 7x + 24    |-7x

x = 24 ⇒ D
Answer Link
SerenaBochenek SerenaBochenek
  • 27-05-2019

Answer:

The value of x is 24

Step-by-step explanation:

Given that ABCD is a rhombus with

AB=8x-13

BC=7x+11

we have to find the value of x

As we know that all sides of rhombus are equal

⇒ AB=BC

[tex]8x-13=7x+11[/tex]

Subtracting 7x from both sides

[tex]8x-7x-13=11[/tex]

[tex]x-13=11[/tex]

Adding 13 both sides

[tex]x=11+13=24[/tex]

Hence, the value of x is 24

Option D is correct.

Answer Link

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