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3 years ago

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

Mathematics

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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3 years ago

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3 years ago

Read 2 more answers

At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the avera

blondinia [14]

ANSWER

$Average \: Weight = 7 \frac{1}{8} \: bushels$

EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.

$Average \: Weight = \frac{8 \frac{1}{4} + 6 \frac{1}{2} + 6 \frac{5}{8} }{3}$

We convert all the mixed numbers to improper fraction to obtain,

$Average \: Weight = \frac{ \frac{33}{4} + \frac{13}{2} + \frac{53}{8} }{3}$

The least common denominator for the fractions in the numerator is 8.

This implies that,

$Average \: Weight = \frac{ \frac{66 + 52 + 53}{8} }{3}$

This simplifies to

$Average \: Weight = \frac{ \frac{171}{8} }{3}$

This gives us,

$Average \: Weight = \frac{171}{24}$

$Average \: Weight = \frac{57}{8}$

$Average \: Weight = 7 \frac{1}{8}$

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3 years ago

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1 year ago