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2 years ago

If m∠2=40°, what is the measure of ∠1 + ∠6?

Mathematics

1 answer:

n200080 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

∠2 and ∠5 are the vertex angles. m∠2 = m∠5.

The same

∠1 and ∠6.

m∠1 + m∠2 + m∠5 + m∠6 = 360°

Substitute m∠2 = m∠5 = 40° and m∠1 = m∠6 = x:

x + 40° + 40° + x = 360°

2x + 80° = 360° /subtract 80° from both sides

2x = 280° /divide both sides by 2

x = 140°

m∠1 + m∠6 = x + x = 2x

2x = 228°

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xeze [42]

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Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

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3 years ago

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

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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3 years ago

Read 2 more answers

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3 years ago

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Step-by-step explanation:

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3 years ago

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Vikki [24]

Answer:

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3 years ago