Lmno is a parallelogram. if nm = x + 6 and ol = 2x + 3, find the value of x and then find nm and ol.
a. x = 5, nm = 9, ol = 11
r = 3. nm-9, ol = 9
c. x = 5, nm = 11, ol= 11
d. x = 3, nm = 11, ol = 9
b

Option B. is correct.

Step-by-step explanation:

Since LMNO is a parallelogram, so the opposite sides of the parallelogram LMNO will be equal.

Hence, LM =NO and NM = OL. {Those are opposite sides}

Now, given that NM =x+6 and OL = 2x+3.

Hence, x+6 =2x+3

⇒ x= 3.

Therefore, NM =x+6 =3+6 =9 units and OL = 2x+3= 2×3+3 =9 units.

So, option B. is correct. (Answer)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2