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GarryVolchara [31]
3 years ago
5

An angle whose measure is - 102° is in standard position in which quadrant does the terminal side of the angle fall?

Mathematics
1 answer:
enyata [817]3 years ago
5 0
It would fall in Quadrant III
You might be interested in
3x = 27 + 3y<br> 3x - 10y = 27<br><br> please explain how you got the answer.
Vedmedyk [2.9K]

Answer:

Hi there!

Your answer is:

Y= 0

X= 9

Step-by-step explanation:

3x=27+3y

3x-10y=27

Solve one of them for Y

I chose the first equation

3x=27+3y

-27

3x-27=3y

/3

x-9 = y

NOW, plug y in the second equation!

3x-10y=27

y= x-9

3x-10y=27

3x-10(x-9) = 27

Solve for x!

3x-10x+90 = 27

-7x + 90 =27

-90

-7x = -63

/-7

x= 9

FINALLY, plug back in x for y equation

y=x-9

x=9

y=9-9

y=0

3 0
3 years ago
Ariana has atoy car collection. She keeps 14 of the toy cars on her wall, which is 35% of her entire collection. What is the tot
Flauer [41]

Answer:

40 cars

Step-by-step explanation:

The total percentage of Ariana's car collection should be = 100%

35% of the collection = 14

1 percent = 14/35

1 percent is therefore 0.4

To get the total number of cars in Ariana's collection, we multiply 100 by 0.4

= 100 x 0.4 = 40

Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.

Another way to solve this is by cross multiplication

35% = 14

100% = ?

When we cross multiply we have:

(100x14)/35

= 1400/35

= 40

Thank you!

7 0
3 years ago
I need to remember how to solve this problem
bekas [8.4K]

<u>1 + 4x = -5 + 7x</u>

1st step: you need to move 4x to the right and -5 to the left so that all the x's are in one place. 4x will be negative and -5 will be positive when you move them. So it will be:

1+5=7x-4x

2nd step:

3x=6

3rd step: you need to divide both sides into 3, because it is the common divisor.

x=2

<h2>To sum up:</h2>

<em>1 + 4x = -5+7x</em>

<em>7x - 4x = 1 + 5</em>

<em>3x = 6</em>

<h2><em>x = 2</em></h2>

You can try to memorize the summary. However, it is better to understand the solution as a whole.






8 0
4 years ago
The sum of two consecutive number is 54. find the numbers
rusak2 [61]
The answer is 27 (54 divided by 2 equals 27; 27 is equal to 27 and adds up to 54 when combined with another 27)
4 0
4 years ago
1. Segment A'B' is parallel to segment AB. What is the length of segment BB'?
ella [17]

Answer:

A. 3.5

Step-by-step explanation:

Given that AB is parallel to A'B', therefore,

CB/CB' = CA/CA'

CB' = 7

CB = CB' + BB' = 7 + BB'

CA' = 6

CA = CA' + AA' = 6 + 3 = 9

Plug in the values

(7 + BB')/7 = 9/6

(7 + BB')/7 = 3/2

Cross multiply

2(7 + BB') = 7(3)

14 + 2BB' = 21

Subtract 14 from both sides

2BB' = 21 - 14

2BB' = 7

Divide both sides by 2

BB' = 7/2

BB' = 3.5

5 0
3 years ago
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