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Yuri [45]
3 years ago
7

An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates

of this image
Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

(- 5, 1 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 2, y - 6 )

This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is

(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )

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I need help please. Thanks
Agata [3.3K]

Given:

m∠APD = (7x + 1)°

m∠DPC = 90°

m∠CPB = (9x - 7)°

To find:

The measure of arc ACD.

Solution:

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠APD + m∠DPC + m∠CPB = 180°

7x° + 1° + 90° + 9x° - 7° = 180°

16x° + 84° = 180°

Subtract 84° from both sides.

16x° + 84° - 84° = 180° - 84°

16x° = 96°

Divide by 16° on both sides.

x = 6

m∠APB = 180°

m∠BPD = (9x - 7)° + 90°

             = (9(6) - 7)° + 90°

             = 47° + 90°

m∠BPD = 137°

m∠APD = m∠APB + m∠BPD

             = 180° + 137°

             = 317°

<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>

m(ar ACD) = m∠APD

m(ar ACD) = 317°

The arc measure of ACD is 317°.

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3 years ago
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