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Sever21 [200]
4 years ago
15

I'm the diagram below abc-dec what is the value of x?

Mathematics
2 answers:
kolbaska11 [484]4 years ago
6 0

we know that

Triangles ABC and DEC are similar triangles

so

\frac{AB}{AC}   =\frac{ED}{DC}

substitute the values

\frac{42}{x}   =\frac{6}{32-x}

42*(32-x)=6*x

7*(32-x)=x

224-7x=x

8x=224

x=28

therefore

<u>the answer is</u>

The value of x is equal to 28

azamat4 years ago
4 0
X = 28

u have 2 similar triangles with a scale factor of 1/7
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alisha [4.7K]

Answer: C

Step-by-step explanation:

When you are finding the area, the formula is A= Pi R^2.

The radius is half of the diameter. To get a diameter of 6, you have to multiply 3 by 2.

6 0
3 years ago
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The area of a circle is 39.62cm2.<br> Find the length of the radius rounded to 2 DP.
Shkiper50 [21]

Using the formula for area of a circle:

Area = pi x radius^2

Replace area with the given value:

39.62 = pi x radius^2

Divide both sides by pi

Radius^2 = 39.62/pi

Radius^2 = 12.62

Solve for radius by taking the square root of both sides

Radius = sqrt(12.62)

Radius = 3.55 cm

4 0
3 years ago
Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the coordinates above:

slope = \frac{-2-1}{2-(-1)}

Simplify:

slope = \frac{-3}{3} = -1

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8 0
3 years ago
The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
Ghella [55]

Let the four consecutive integers be

x , x+1, x+2, x+3

ATQ, Their sum is 18

\sf \: x + x + 1 + x + 2 + x + 3 = 18

\sf \: 4x + 1 + 2 + 3 = 18

\sf4x + 6 = 18

\sf4x = 18 - 6

\sf4x = 12

\boxed{ \mathfrak{x = 3}}

<h3>Now,</h3>

  • 1st number = x = 3
  • 2nd number = x+1 = 3+1 = 4
  • 3rd number = x+2 = 3+2 = 5
  • 4th number = x+3 = 3+3 = 6

<em>The four numbers are 3,4,5,6 respectively and the smallest number among them is 3</em><em>.</em><em>.</em><em>.</em><em>~</em>

6 0
3 years ago
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A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the five n
KonstantinChe [14]
1) Take 18 and multiply it by 5 = 90
2) Then subtract 26 = 64
3) Then subtract 18 = 46
4) Then subtract 12 = 34
5)  Then subtract 8 = 26
 
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3 years ago
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