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ABCD is a parallelogram. If AD = 2x + 10 and CD = 4x — 20, for what value of x will ABCD be a rhombus



Answer :

Answer:

x= 15

Step-by-step explanation:

All sides of a rhombus are equal so AD = CD

2x+10 = 4x-20

Subtract 2x from each side

2x+10-2x = 4x-20 -2x

10 = 2x-20

Add 20 to each side

10+20 = 2x-20+20

30 = 2x

Divide by 2

30/2 = 2x/2

15 =x