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