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Charra [1.4K]
3 years ago
13

Determine the value of x in the figure.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Step-by-step explanation:

Hey there!

<u>Your</u><u> </u><u>required answer is option</u><u> </u><u>B</u><u>.</u>

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

<u>By</u><u> </u><u>the</u><u> </u><u>defination</u><u> </u><u>of</u><u> </u><u>equilateral</u><u> </u><u>triangle</u><u> </u><u>we</u><u> </u><u>have</u><u>,</u>

<u>A</u><u>ll</u><u> </u><u>sides</u><u> </u><u>of</u><u> </u><u>equilateral</u><u> </u><u>triangle</u><u> </u><u> </u><u>are</u><u> </u><u>equal</u><u>.</u><u> </u>

So,

( 7x+ 9) = x + 27

Simplify them to get answer.

7x - x = 27 - 9

6x = 18

x =  \frac{18}{6}

Therefore the value of x is 3.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Step-by-step explanation:

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Which of the following is a zero of the function F(x)= x³-4x²-7x+10
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Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother h
sergejj [24]

They will need 2 5/12 more pounds to reach their goal.

<h3>Sum and difference of fractions</h3>

Given the following information as shown:

  • Amount Blake collected = 6 1/3 pounds
  • Amount his brother collected = 5 3/4 pounds

If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:

y =14 1/2 - (6 1/3 + 5 3/4)

y = 14 1/2 - (19/3  + 23/4)

y = 29/2 - (76+69/12)

y = 29/2 - (145/12)

y = 174-145/12

y = 29/12

y = 2 5/12

Hence they will need 2 5/12 more pounds to reach their goal.

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5 0
2 years ago
The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

5 0
3 years ago
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