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kogti [31]
2 years ago
4

2 lines intersect at point A. One line contains points C, A, E and the other line contains points B, A, D. Which are linear pair

s? Check all that apply. ∠DAE and ∠EAD ∠BAC and ∠CAD ∠BAE and ∠EAD ∠EAD and ∠DAC ∠CAE and ∠BAD

Mathematics
2 answers:
Julli [10]2 years ago
3 0

Answer:

Linear pairs are ∠BAC and ∠CAD, ∠BAE and ∠EAD and ∠EAD and ∠DAC.

Step-by-step explanation:

The linear pairs are pair of adjacent angles formed by intersection of two lines and sum up to form an angle of 180°. Linear pair angles are supplementary to  each other.

As referred in figure 1, linear pairs are:

∠BAC + ∠CAD = 180° ( ∠BAC and ∠CAD are adjacent to each other and lies on straight line BAD.

In the same way, ∠CAD + ∠DAE = 180° ( sum of linear pair)

∠BAE + ∠EAD = 180° ( sum of linear pair)

xxTIMURxx [149]2 years ago
3 0

Answer:

B, C and D

Step-by-step explanation:

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Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a
nadezda [96]

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

7 0
2 years ago
In the diagram, which is not drawn to scale, DE | FG || BC.
AysviL [449]

Answer:

FG || BC.

Step-by-step explanation:

In the diagram, which is not drawn to scale, DE | FG || BC.

3 0
2 years ago
Assume that Mrs. Giang’s car travels 14 miles on each gallon of gas. If she travels to visit her niece who lives 133 miles away,
frutty [35]
Take the amount 14 MPG (miles per gallon)

Then take the number of miles to go (133 miles to go)

Divide, like so:

133/14
= 9.5





3 0
2 years ago
Read 2 more answers
URGENT!!! Connor earns $24 working every 1.5 hours. Complete the table using equivalent ratios.
tamaranim1 [39]
First find the rate, so dollars/1 hour

To do this, divide both sides by 1.5 so u get the Pay of one hour because 1.5/1.5 is one and the result is 16/1 hour, now multiply 16 by the hour so 16(8) then 16(12) and so on, you can do it well! I don’t have a calculator lol
8 0
2 years ago
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The time it takes to transmit a file always depends on the file size. Suppose you transmitted 30 files, with the average size of
Ostrovityanka [42]

Answer:

Y = 0.009042 + 0.0002457X

Y = 0.1073 seconds

Step-by-step explanation:

In the given problem we have two variables: the transmission time and average size of file.

Y = transmission time

X = average file size

The linear regression model is given by

Y = a + bX

The slope b is given by

b = correlation coefficient*(SDy/SDx)

Where SDy is the standard deviation of average transmittance time and SDx is the standard deviation of average file size.

b = 0.86(0.01/35)

b = 0.0002457

The y-intercept a is given by

a = y - bx

a =  0.04 - (0.0002457)126

a = 0.04 - 0.030958

a = 0.009042

Therefore, the linear regression model is

Y = 0.009042 + 0.0002457X

Predict the time it will take to transmit a 400 Kbyte file.

Substitute X = 400 in the regression model

Y = 0.009042 + 0.0002457(400)

Y = 0.009042 + 0.09828

Y = 0.1073 seconds

Therefore, the predicted time to transmit a 400 Kbyte file is 0.1073 seconds.

8 0
2 years ago
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