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3 years ago

What is?Two consecutive odd integers have a sum of -44. What are two odd integers?

1 answer:

5 0

Let one odd integer = x

other odd integer = x +2

Sum = x + x+2 = -44

=> 2x + 2 = -44

=> 2x = -44 -2 = -46

=> x = -46/2 = -23

x+2 = -23 + 2 = -21

Integers are -23 and -21

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Answer:

The slope is -10, and the y-intercept is 1

Step-by-step explanation:

The slope is in the equation and always has a variable next to it (In this case, -10x, so -10 is the slope)

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Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
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Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

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Answer:

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Step-by-step explanation:

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m<XWC = m<XYC

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m<XYC = 3x+2

Equate

2x+5 = 3x+2

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