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Nutka1998 [239]
3 years ago
15

Y , add 4, then divide by 9.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0
(y+4)/9 is the equation!
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The length of a rectangular wire frame with dimensions of 12 cm × 8 cm increases at the rate of 0.5 cm per second, while its wid
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Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, inc
cestrela7 [59]
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC

We want to dilate triangle ABC by scale factor of 2 at the center (0,2)

The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6). 

Triangle ABC has a base of 4 units and a height of 6 units
Triangle A'B'C' has a base of 8 units and a height of 12 units

Applying Pythagoras theorem to triangle ABC to find the hypotenuse
BC^{2}= AB^{2}+ AC^{2}
BC^{2}= 4^{2}+ 6^{2}
BC^{2} =52
BC=2 \sqrt{13}

Now, we calculate the hypotenuse of the image
B'C'^{2}= A'B'^{2}+ A'C'^{2}
B'C'^{2}= 8^{2}+ 12^{2}
B'C'^{2}=208
B'C'= \sqrt{208} =4 \sqrt{13}

The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape


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