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Ilia_Sergeevich
4 days ago
15

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

Mathematics
2 answers:
Svet_ta [9.5K]4 days ago
6 0

we know that

Triangles ABC and DEC are similar triangles

therefore

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

substituting 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

the answer is

The value of x equals 28

Inessa [9K]4 days ago
4 0
X = 28

there are two similar triangles with a scale factor of 1/7.
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Step-by-step explanation:

Given are

Sides of the triangle measure 4 units, 6 units, and 7.21 units.

We need to compute the area of a circle whose circumference matches the triangle's perimeter.

The triangle's perimeter corresponds to the circle's circumference.

4 + 6 + 7.21 = 2πr, where r is the radius of the circle.

r = 2.73 units

Circle's area is:

A=\pi r^2\\\\A=3.14\times (2.73)^2\\\\A=23.402\ \text{units}^2

or

A = 24 square units

Thus, the circle’s area is 24 square units.

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19 days ago
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14 days ago
12x+7<−11 AND5x−8≥4012
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Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Handle each inequality separately.

12x+7              Utilizing the subtraction property of inequalities

12x

12x

x

x

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5x-8\geq 40               Utilizing the addition property of inequalities

5x\geq 40+8

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Refer to the attached image for the number line representation.

No solution

8 0
1 month ago
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Answer:

Possible values for X include;

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Step-by-step explanation:

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15, 30, 45, 60

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