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vichka [17]
1 year ago
7

6

Mathematics
1 answer:
Sloan [31]1 year ago
7 0

Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure by a scale factor.

Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:

Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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Find the missing side length
Slav-nsk [51]

Answer:

x ≈ 4.8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle measure = 58°

Adjacent side of angle = <em>x</em>

Hypotenuse = 9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [cosine]:                    cos58° = x/9
  2. Isolate <em>x</em>:                                     9cos58° = x
  3. Evaluate:                                     4.76927 = x
  4. Rewrite:                                      x = 4.76927
  5. Round:                                        x ≈ 4.8
5 0
3 years ago
Read 2 more answers
Pang dagdag points niyo.... sagutan niyo nalang ng tamang sagot, yung tamang sago i high rate ko......
Elena-2011 [213]

Answer:

26/5

Step-by-step explanation:

(2)(2)(4)/5 −8+10

(4)(4)/5−8+10

=16/5−8+10

=−24/5+10

=26/5

Alternate form

5.2

5 0
3 years ago
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A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
CaHeK987 [17]
Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 / <span> <span> <span> 2.3094 </span> </span> </span>
Area of the Base = <span> <span> <span> 41.5692387633 </span> </span> </span>

Area of 1 Face = 2 * 6 = 12
Area of 6 Faces = 72

<span> <span> Total Area = 41.5692387633 </span> + 72</span>
Total Area = 113<span>.5692387633</span>


6 0
3 years ago
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3.2-4d=2.3d+3 i need the answer
borishaifa [10]

Answer:

d=0.031746

Step-by-step explanation:

1. Add 4d to both sides: 3.2=2.3d+3+4d

2. Simplify 2.3d +3+ 4d to 6.3d+3: 3.2=6.3d+3

3. Subtract 3 from both sides: 3.2-3=6.3d

4. Simplify 3.2-3 to 0.2: 0.2-6.3d

5. Divide both sides by 6.3: 0.2/6.3=d

6. Simplify 0.2/6.3 to 0.031746: 0.031746=d

7. Switch sides: d=0.031746

Hope this helped!

7 0
3 years ago
What is the area of this trapezoid?<br><br><br><br> Enter your answer in the box.
Anton [14]

Answer:

80

Step-by-step explanation:

5 0
2 years ago
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