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suter [353]
2 years ago
14

If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O'

be?
Mathematics
1 answer:
Marianna [84]2 years ago
5 0

9514 1404 393

Answer:

  90°

Step-by-step explanation:

Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.

_____

<em>Additional comment</em>

No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.

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3 years ago
Jenna sold 63 bracelets at one craft show and 36 and another which expression correctly applies the distributive property to sho
aev [14]

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

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