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Tpy6a [65]
3 years ago
7

What are the sizes of angles a, b, c and d? ​

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Step-by-step explanation:

c +  {154}^{o}  =  {180}^{o}  \\ c =  {180}^{o}  -  {154}^{o}  \\ c =  {26}^{o}

a = c (Alternate angles)

a =  {26}^{o}

b =  {48}^{o}

Corresponding angles

(a + d) + b = 180° (Interior angles)

{26}^{o}  + d +  {48}^{o}  =  {180}^{o}  \\ d +  {74}^{o}  =  {180}^{o}  \\ d =  {180}^{o}  -  {74}^{o}  \\ d =  {106}^{o}

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goblinko [34]

4 Standard drinks he has consumed in over a two - hour time period.

<h3>What is Unitary Method?</h3>

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

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The standard drink contains 12 - ounce of beer.

Here, we have given 1 red cup which has 16 - ounce of beer.

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Learn more about " Unitary Method " from here: brainly.com/question/28276953

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7 0
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Step-by-step explanation:

6 0
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Mariana [72]
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
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y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------


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