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rusak2 [61]
3 years ago
9

Hello, can someone pls help me ty!​

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0

Answer:

C, 5/2

Step-by-step explanation:

3 I2x -1I + 4 = 16

Isolate absolute value:

3 I2x -1I + 4 - 4 = 16 - 4

3 I2x -1I= 12

(3 I2x -1I) / 3 = 12 / 3

I2x -1I= 4

Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x

2x -1 = 4

2x -1 + 1 = 4 +1

2x = 5

2x / 2 = 5 / 2

x = 5/2 or C

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tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.
Darina [25.2K]

Answer:

(A) 56 on ed genuity

Step-by-step explanation:


3 0
3 years ago
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Can someone help me with this pls, is super important
Alex17521 [72]
X = 50 degrees
y = 50 degrees

Explanation:

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y = x = 50 (Corresponding angles)
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Find the value of x in the diagram shown below.
koban [17]

Answer:

a) <u>∡ADC = 270°</u>

b) <u>∠DAE = 38°</u>

Step-by-step explanation:

Using Inscribed Angle Theorem :

  • ∡ADC = 2 x ∠ABC
  • ∡ADC = 2 x 135°
  • <u>∡ADC = 270°</u>

Similarly :

  • ∠DAE = 1/2 x ∡DE
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5 0
2 years ago
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