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Phoenix [80]
3 years ago
5

If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer:

A. 12

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:

LJ = 2(LW)

11x + 2 = 2(5x + 2)

11x + 2 = 10x + 4

11x + 2 - 2 = 10x + 4 - 2

11x = 10x + 2

11x - 10x = 10x + 2 - 10x

x = 2

✅LW = 5x + 2

Plug in the value of x

LW = 5(2) + 2

LW = 10 + 2 = 12

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
You have $200 in a savings account.Each week for 8 weeks,you take out $18 for spending money.How much money is in your account a
g100num [7]

The amount of money in your account is mathematically given as

x = $56

This is further explained below.

<h3>What is an account?</h3>

Generally, An account is a term used in accounting to refer to assets, liabilities, income, costs, and equity.

In bookkeeping, an account is represented by a single page in a ledger, and any changes in value are chronologically documented using debit and credit entries.

These entries, which are also known as posts, are added to a book of final entries or ledger and form a part of it.

In conclusion, the amount of money in your account will be

18 * 8 = 144

Therefore

x=200 - 144

x = $56

Read more about the account

brainly.com/question/22917325

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</em>
<em />This is only a rough estimate because an arithmetic average will not coincide with the biochemistry of the amino acids. The true value of the isolectric point is determined through experimentation. However, it would be more ore less around 6.635.<em>
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3 years ago
Y = 3 <br><br><br> X intercept : ________<br> Y intercept : ________<br> Slope: ________
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