Given the sides of quadrilateral that are O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO be a parallelogram.

we know opposite sides of parallelogram are equal.

Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.

Equating opposite sides equal, we get

8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12

implies, NM=x-5=12-5=7

NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3

Hence, x=12 and y=4.3

4 0

2 years ago

Clarence’s age is 3/5 of amys age. Isaiah‘s age is 1/2 of Amy’s age .the sum of Clarences,Amy’s and isaiah’s age is 21 years.wha

omeli [17]

Answer:

Amy's 10 years old

Step-by-step explanation:

Clarence is ⅗ Amy's age

Isaiah is ½ Amy's age

Amy's age = ?

But summation of their age = 21

Clarence + Isaiah + Amy = 21

Let a represents Amy's age

⅗a + ½a + a = 21

Solve for a by resolving the fraction,

2.1a = 21

Divide both sides by 2.1

a = 10

Amy's 10 years old

7 0

3 years ago