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4 years ago

PLZ HELP!!!

Mathematics

1 answer:

Oxana [17]4 years ago

5 0

Answer:

96°

Step-by-step explanation:

J and K are supplementary angles. This means that when added, they will equal 180°

that means one angle is x and the other angle is 180 - x

so we have angle K (lets call this x) at 84° , so angle J is gonna be 180 - x.....180 - 84 =

96°

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Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.

andreev551 [17]

Answer:

The vertices of image are (-48,48), (24,24) and (72,96).

Step-by-step explanation:

From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).

The scale factor is 12 and the dilation is about the origin.

If a figure is dilated about the origin with scale factor k, then

$(x,y)\rightarrow (kx,ky)$

Since the scale factor is 12.

$(x,y)\rightarrow (12x,12y)$

The vertices of image are

$(-4,4)\rightarrow (-48,48)$

$(2,2)\rightarrow (24,24)$

$(6,8)\rightarrow (72,96)$

Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.

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We all know that a triangle has 180 degrees.
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