∠1 and ∠2 form a linear pair. If m∠1 = 5x + 9 and m∠2 = 3x + 11, find the measures of both angles.

Answers

Answer 1

Answer:

Answer:

∠1 =109

∠2= 71

Step-by-step explanation:

if they are a linear pair that means they must both (when added together) equal 180 degrees, so this means we can add them and set them equal to 180!

8x+20=180

8x=160

x=20

then we just input them!

m∠1 = 5(20) + 9 = 109

m∠2 = 3(20) + 11 = 71

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A piano has white keys and black keys in the ratio of 13 : 9. If there are 52 white keys,how many black keys are there?

Answers

✡ Answer: 9/36 ✡

- - Why?

Because if you look at it like this:

$(13)/(52) = (9)/(36)$

- 52 being the white and 36 because the black.

✡Hope this helps✡

Let w = white and b = black.
Using the proportion,
13/w = 9/b
Since w = 52 white keys, therefore
13/52 = 9/b
b = 36 black keys

Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equation b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books.If Wendy arranged 16 rows she arranged a total of what books

Answers

the answer is 192 book. the reason why is because if you have 12 books each in 16 rows, you would like to MULTIPLY to find out how much in total. so
1
12
×16
---
72
+120
-------
192 books

What is the check for this equation?
4(1 - x) + 3x = -2(x + 1)

Answers

x = -6 hope that helps :)

John is a new employee at International Widget. Having studied human relations, he's eager to understand the supervisory style employed by his immediate supervisor. Which of the following is not especially important to John's insight?a. His supervisor's flexibility on work guidelines
b. Whether his supervisor enjoys particular sports or hobbies
c. The extent to which he (John) is expected to work independently
d. Whether his supervisor is more concerned about short-term or long-term work goals

Answers

The correct option is B. In order for John to understand the supervisory style employed by his immediate supervisor, he does not needs to know the type of sport that his supervisor enjoys, for that particular information is not related to how the supervisor expects John to handle office work. The other statements are John's job related and they are good means of getting insight into the supervisory style of a supervisor.

For the expression 6 − y + 3, determine the coefficient for the variable term