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3 years ago

14

Find a value of X so that the figure is a square.

2 answers:

rodikova [14]3 years ago

5 0

Hello !
We know that a square has all equal sides.

That means the side 3x+39 is equal to the side 3(5x-3):


   3x+39 = 3(5x-3)
   3x+39 = 15x-9   | - 3x
           3x-3x+39 = 15x-3x-9
                   39 = 12x-9 | + 9
                   39 + 9 = 12x-9+9
                   48 = 12x | ÷ 12
                   x = 48/12 ⇔ x = 4

So,one side is 3*4 + 39 = 12 + 39 = 51
And the other side is 3(5*4 - 3) = 3(20-3) = 3*17 = 51

As you can see,the sides are equal.

drek231 [11]3 years ago

4 0

3(5x-3)=3x+39
15x-9=3x+39
12x=48
x=4

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Step 1 ) Move all terms right side of the equation.

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Step 3 ) Simplify.

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VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: number of dimes in his pocket.

Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

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x = (0.25*14 - 2.75)/0.15.

x = 5.

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There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

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