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topjm [15]
3 years ago
15

Please Help! Geometry

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

x =14, y = 38

Step-by-step explanation:

Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

5x \degree + 110 \degree = 180 \degree \\  \\ 5x \degree   = 180 \degree  - 110 \degree\\  \\ 5x \degree   = 70 \degree\\  \\ x =  \frac{70}{5}  \\  \\ x = 14 \\  \\ 2y \degree + 104 \degree = 180 \degree \\  \\ 2y \degree  = 180 \degree  - 104 \degree\\  \\ 2y \degree  = 76 \degree \\  \\ y =  \frac{76}{2}  \\  \\ y = 38

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Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

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Since:

4>1

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)

Now you can draw it (The image is attached).

8 0
3 years ago
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2 years ago
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Step-by-step explanation: Hope this help :D

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