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UkoKoshka [18]
2 years ago
6

Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Whic

h statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.
Mathematics
1 answer:
Tpy6a [65]2 years ago
7 0

Answer:

  • See the picture, it explains the correct choice is C

Step-by-step explanation:

  • a) Line F′G′ is the original line. False
  • b) Line F′G′ passes through the origin. False
  • c) Lines FG and F′G′ are parallel to each other.  TRUE
  • d) Lines FG and F′G′ are perpendicular to each other. False

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Answer:

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Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571\   cm^{2}\\

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u />Area\ of\ square=(Side)^{2}

                         =11\times11=121\ cm^{2}

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

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