Question

Figure ABCD is a parallelogram

What are the lengths of line segments AB and BC?

Answer 1

D

Explanation:

Answer 2

Question is Incomplete,Complete question is given below;

Figure ABCD is a parallelogram.

What are the lengths of line segments AB and BC?

AB = 4; BC = 16

AB = 4; BC = 8

AB = 10; BC = 20

AB = 10; BC = 28

Answer:

AB = 10 ;BC =28.

Explanation:

The Diagram is missing in the question we have attached the diagram for your reference.

Given:

AB =
`3y -2`

DC =
`y+6`

BC =
`x+12`

AD =
`2x-4`

We need to find the lengths of AB and BC.

Solution:

Since given that Figure ABCD is a parallelogram.

"The opposite side of parallelogram are equal."

Hence we can say that;

AB = DC

Substituting the value we get;

`3y-2=y+6`

Combining the like terms we get;

`3y-y=6+2\\\\2y =8`

Dividing both side by 2 we get;

`(2y)/(2)=(8)/(2)  \\\\y=4`

Now AB =
`3y -2 =3* 4-2 =12-2 =10`

Also

BC = AD

Substituting the value we get;

`x+12=2x-4`

Combining the like terms we get;

`2x-x=12+4\\\\x =16`

Now BC =
`x+12 =16+12 =28`

Hence AB = 10 and BC =28.