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Anastaziya [24]
3 years ago
9

In triangle ABC the measure of angle B is 8 degrees more than three times the measure of angle A. The measure of angle C is 37 d

egrees more than the measure of angle A. Find the measures of each angle .
Mathematics
1 answer:
katrin [286]3 years ago
3 0
B is 8 plus 3A
C is 37 plus A
A is A
A plus B plus C is 180
A plus 8 plus 3A plus 37 plus A is 180
5A plus 45 is 180
5A is 135
A is 27
B is 8 plus 3 times 27
B is 8 plus 81
B is 59
C is 37 plus 27
C is 64
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Step-by-step explanation:

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Answer:

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
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The coordinates of the image can be determined by multiplying the coordinates of the original point by a given scale factor.

Given that the point M was located at (4, -2) and was dilated to M'(6,-3).

It means if we multiply the coordinates of the original point M(4, -2) by 3/2, we get the image point M'(6, -3).

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M(4, -2) → M'(3/2(4), 3/2(-2)) → M'(6, -3)

In other words, the image M'(6, -3) is obtained after the dilation by a scale factor 3/2 centered at the origin.

Therefore,

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

5 0
3 years ago
I need help please help
saveliy_v [14]

Answer:(0,6)

Step-by-step explanation:

Solve for Y if X =0

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Naddika [18.5K]

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Step-by-step explanation:

Given, For 62% as factor, calories burned (E)= (weight)(0.62).

Also, if they run an 8-minute mile, the factor is 65%.  [given]

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Then, calories burned (E)= 180 x (0.65).

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Thus , he burned 117 calories.

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