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Leno4ka [110]
2 years ago
9

On the graph, △DEF was transformed to create △DGH.

Mathematics
2 answers:
mafiozo [28]2 years ago
8 0

Answer:

it's B

Step-by-step explanation:

by analyzing it I figured it was 100% B

Alenkasestr [34]2 years ago
3 0

Answer:

C. a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin.

Step-by-step explanation:

G is the same point transformed as E and H is the same as point F.

Since G is now (-9,0) that was multiplied 3 times from (3,0) before it was rotated. Which would show that the answer is probably C or D.

Next, the answer looks as though it has been rotated around D or the origin by 180 degrees but we don't know that quite yet.

So check if you dilated triangle DEF by a factor of 3 then translated it down 6 units point E would now be (9,-6).

Then translate it to the left 6 units. (3, -6). That's not the same as triangle DGH.

So the answer is C.

Hope this helps! If it does brainliest would be appreciated.

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<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

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In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

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