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Oksi-84 [34.3K]
3 years ago
10

Fill in the following 5 statements and 5 reasons used to complete this proof.

Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Answer:

AD ≅ CD.

Step-by-step explanation:

Statement : consider triangles ADB and DBC.

1) AB = CD

2) ∠ABD = ∠DBC

3) DB = DB

4) ⇒ ΔADB and ΔDBC are congruent triangles.

5) AD = DC.

Reasons ;

1) given, AB = CB

2) given, DB bisects ∠ ABC

3) common side of both triangles

4) as two sides and one angle are equal in both triangles

5) congruent triangles

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What is the exact distance between points a(-2, 7) and b(6,-5)
shutvik [7]

Answer:

14.4222

Step-by-step explanation:

Distance between two points = √(x₂ – x₁)² + (y₂ – y₁)²

Distance between two points = √(6 – -2)² + (-5 – 7)²

√(6 – -2)² + (-5 – 7)²

√8² + (-12)²

√64 + 144

√208

14.4222

I hope this helps

4 0
3 years ago
Read 2 more answers
Factorise the equation 9x^2 - 4
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Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

9x² - 4 = (3x)² - 2²

            = (3x + 2 )(3x - 2)

5 0
3 years ago
A line passes through the points R(-1,-5) and S(-3,-1). Write the equation of the line through the point A(4,0) that is parallel
IRISSAK [1]
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4 0
3 years ago
True or false? "If two angles form a linear pair, they must be supplementary?"
vodka [1.7K]

Answer:

true?

Step-by-step explanation:

im guessing.

4 0
3 years ago
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12. Determine the area of the shaded region. 12 in 12 in​
vekshin1

Answer:

  • 216/7 in²

Step-by-step explanation:

<u>We know that:</u>

  • Area of shaded region = Area of square - Area of circles
  • Radius of circle = 3 in
  • Area of circle = πr²
  • Area of square = s²

<u>Solution:</u>

  • Area of shaded region = Area of square - Area of circles
  • => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
  • => Area of shaded region = (144) - 4(22/7 x 9)
  • => Area of shaded region = (144) - 4(198/7)
  • => Area of shaded region = 144 - 792/7
  • => Area of shaded region = 144 x 7/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 216/7 in²
3 0
3 years ago
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