Question

PLEASE HELP FAST!!! 50 POINTS REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED

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

Answer 1

`\longmapsto \: 2x + 10 = 4x - 20`

`\longmapsto \: 2x - 4 x= - 20 - 10`

`\longmapsto \: - 2x = - 30`

`\longmapsto \: x=15`

Answer 2

x= 15

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