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Rashid [163]
3 years ago
6

HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

  F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

  (x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

  A(4, 3) ⇒ A'(-3, 4) . . . . . quadrant II

  B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

  C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

__

Consider the answer choices:

  F: (-3, -4) is A' --- NOT true

  G: triangles are congruent --- true

  H: B is in quadrant III --- NOT true

  J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

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Treasury bond's invested amount is "$7000" and Bond's invested amount is "$10000",

Let,

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  • The amount invested in bond will be = (x + 3000)

then,

→ \frac{x\times 4\times 3.8}{100} +\frac{(3000+x)\times 9\times 4.6}{100}=5204

→       \frac{15.2x}{100}+\frac{(3000+x)\times 41.4}{100} =5204

→         \frac{15.2x}{100} +\frac{124200+41.4x}{100} =5204

→            \frac{15.2 x+124200+41.4x}{100} = 5204

→               56.6x+124200=520400

→                               56.6x=520400-124200

→                               56.6x=396200

→                                      x = \frac{396200}{56.6}

→                                         = 7000

Amount invested in bond will be:

= x+3000

= 7000+3000

= 10000    

Thus the above is the correct answer.

Learn more:

brainly.com/question/14802140

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