MATHEMATICS HIGH SCHOOL

If ON=5X-7,LM=4X+4NM=X-7 and OL=3Y-4 find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale. a. x = 11,y = 8/3
b. x = 4,y = 3/8
c. x = 11,y = 3/8
d. x = 4,y = 8/3

Answers

Answer 1

Answer:

To find the value of x and y we should know the properties of the Parallelogram.

Parallelogram

A parallelogram is a quadrilateral, whose opposite sides are always parallel and equal to each other.

Given to us

ON=5X-7,
LM=4X+4,
NM=X-7,
OL=3Y-4

Solution

For the quadrilateral LMNO to be a parallelogram the opposite sides of the parallelogram must be equal to each other. Therefore,

LM = ON, and
OL = NM.

Equation 1

Substituting the value in equation 1,

$LM = ON\n4x+4 =5x-7\n4x-5x =-7-4\n-x =-11\n x = 11$

Equation 2

Substituting the value in equation 2,

OL = NM

$3y-4=x-7$

Substituting the value of x

$3y-4=(11)-7\n3y-4=11-7\n3y = 11-7+4\n3y = 8\ny=(8)/(3)$

Hence, the value of x and y should be 11 and $(8)/(3)$ for LMNO to be a parallelogram.

Learn more about Parallelogram:

brainly.com/question/1563728

Answer 2

Answer: The answer is a.

5x-7 = 4x+4 solve for x

substitute x in (x-7) to get 11-7

3y-4 = 11-7 solve for y

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1. When you pay a bill in full, you area. paying it off
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Answers

1. When you pay a bill in full, you are
a. paying it off

2. APR stands for
c. annual percentage rate

3. when calculating interest accrued, you should
c. multiply the principal by the APR and number of months, then divide by the total number of the months in the year.

4. --- are used to take money directly from your account
b. Debit cards

5. A pack of gum would be considered a
b. small ticket item

6. Interest rates on mortgages are lower because the home is
b. secured

Answer and Explanation

1.When you pay a bill in full, you are

Paying it off - When you pay off a bill it means that you give money to in return for goods or services rendered. That is giving cash for exchange of goods or services.

2.APR stands for

Annual percentage rate- This is the annualized cost of credit expressed as percentage.The calculation of APR considers certain fees to reflect the cost of credit in addition to interest.

3.when calculating interest accrued, you should

multiply the principal by the APR and number of months, then divide by the total number of the months in the year.

4. --- are used to take money directly from your account

Debit cards- A debit card is a payment card that is used to make payment instead of using cash to make payments when purchasing items.

5. A pack of gum would be considered a

small ticket item-a small ticket item is a retail good that has low selling price.

6.Interest rates on mortgages are lower because the home is

Secured- Secured loan interest lowers the risk for the leader and allows the lender to charge lower interest. In this transaction in which a security interest is granted is called a secured transaction.

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