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skelet666 [1.2K]
3 years ago
9

Helppp!!!! please!!!

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

<h2>           a.   1188 in.² </h2>

Step-by-step explanation:

Area of parallelogram is:  A = B•H     {H⊥B}

B = 36 in.

H = 33 in.

A = 36 in. • 33 in. = 1188 in.²

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Thus, the answer is <span>B(2, −3) and C(−2, 3)</span>
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3 years ago
The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelog
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Answer:

(A)EF corresponds to E'F'

(C)∠EDG Is-congruent-to ∠E'D'G'

(D)∠DEF Is-congruent-to ∠D'E'F'

(F)The transformation is a rigid transformation.

Step-by-step explanation:

Given:

  • Parallelogram DEFG is mapped to D'E'F'G'
  • DEFG and D'E'F'G' have identical side lengths and angle measures.

The following applies:

  • EF corresponds to E'F'
  • ∠EDG Is-congruent-to ∠E'D'G'
  • ∠DEF Is-congruent-to ∠D'E'F'

Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:

  • The transformation is a rigid transformation.

Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.

FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'

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Area of the shaded segment=
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The area of the entire sector is (\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi

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So, the area of the segment is \boxed{6\pi-9\sqrt{3}}

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