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Zinaida [17]
3 years ago
12

Please Help! The diagram shows parallel lines p, q, and r cut by transversal t. Match each angle pair to the correct description

.

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

1 is to a because corresponding angles are located in the same location, comparative to each line.

2 is to d because one, they are on the same side of the transversal, and two, they are "facing" each other.

3 is to c because vertical angles are formed opposite to each other when two lines intersect, like shown.

4 is to b because they are on different sides of the transversal, and are "facing" each other.

5 is to e because they are not "facing" each other, and they are on different sides of the transversal.

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Laura retired from her job recently, and she has saved about $414,731.00 over the course of her career. She plans to withdraw $2
ipn [44]

Answer:

15 months.

Step-by-step explanation:

Given:

Laura retired and saved about $414,731.00 over the course of her career.

She plans to withdraw $2,224.00 each month to pay for living expenses.

After a certain amount of time, the balance in Laura's account is $381,371.00

Question asked:

How many months have passed since Laura retired ?

Solution:

Let total number of months for which she withdrew = x

Total saving amount = $414,731

Unitary method:

In 1 month she withdrew =  $2,224

In x months she withdrew = \$2224x

Total withdrew amount =  \$2224x

Balance amount after x months = $381,371

<u>Balance amount = Total saving amount - Total withdrew amount</u>

381371=414731-2224x\\ \\ Subtracting\ both\ sides\ by\ 414731\\ \\ 381371-414731=414731-414731-2224x\\ \\- 33360=-2224x\\ \\ Minus\ canceled\ by\ minus\\ \\ 33360=2224x\\ \\ Dividing\ both\ sides\ by\ 2224\\ \\ \frac{33360}{2224} =\frac{2224x}{2224} \\ \\ 15=x

Thus, 15 months have passed since Laura retired.

5 0
3 years ago
Solving a System of Linear Equations - Applications - Item 92238
Viktor [21]

Answer:

$132

Step-by-step explanation:

1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs

2) From the given eqn,

y = (84 - 4x)/2

and

y = (126 - 3x)/5

equating both the equation,

(84 - 4x)/2 = (126 - 3x)/5

=> 210 - 10x = 126 - 3x

=> 7x = 84

=> x = 12

=> y = (84 - 48)/2 = 18

Hence the co-ordinate of intersection will be (12,18)

3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30

4) The total earning of hour 3

= 5x + 4y

= 5.12 + 4.18

= 60 + 72

= $ 132

7 0
3 years ago
If a rectangle has a length of 12 inches and a width of inches, what is the value of its perimeter ? Include units.
kiruha [24]

Answer:

36

Step-by-step explanation:

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3 years ago
(18)2(3)2(4)3<br> (6)2(2)3
lord [1]

Answer:

Trrvdddctcfc hfrvhjk

Step-by-step explanation:

8 0
3 years ago
First right answer will get brainlist
Ronch [10]
Try C, i am  not completely sure but i tried
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3 years ago
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