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Leokris
7 days ago
6

Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply. (–2,

–5) and (–7, –3) (–1, 1) and (–6, –1) (0, 0) and (2, 5) (1, 0) and (6, 2) (3, 0) and (8, 2)
Mathematics
2 answers:
babunello [8.4K]7 days ago
5 0
The pairs that meet the criteria are: (–1,1) and (–6,–1), (1,0) and (6,2), and (3,0) and (8,2). The rationale behind this is based on my previous answer, which had an error.
AnnZ [9.1K]7 days ago
4 0
The ordered pairs needed are (–1,1) with (–6,–1), (0, 0) with (2, 5), and (3, 0) with (8, 2). We understand that parallel lines share the same slope. To find the slope of the line connecting the points (3,4) and (-2,2), we begin with the given data. The pairs of options include: the slope for (–2,–5) and (–7,–3) is calculated next; followed by the slope connecting (–1,1) and (–6,–1); then for (0, 0) and (2, 5); the slope for (1,0) and (6,2); and finally the slope that connects (3, 0) and (8, 2). The slopes for pairs (–1,1) with (–6,–1), (0, 0) with (2, 5), and (3, 0) with (8, 2) align with the slope of the given line. Therefore, the required ordered pairs are (–1,1) and (–6,–1), (0, 0) and (2, 5), and (3, 0) and (8, 2).
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Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the sh
lawyer [9240]

Answer:

The detailed work and solution can be found in the attachment

Step-by-step explanation:

7 0
25 days ago
Which of the following are exterior angles? Check all that apply.
Svet_ta [9518]

Answer:

A. C. E. F.

Which correspond to 2, 3, 5, and 6.

Step-by-step explanation:

Within geometry, exterior angles are defined as those angles formed between any side of a polygon and the extension of an adjacent side, as demonstrated in the diagram.

Observing the figure, angles 2 and 3 arise from a side of the triangle and a line extended from the following side. Likewise, angles 5 and 6 are created similarly. Thus, these four angles are classified as exterior angles.

8 0
1 month ago
Read 2 more answers
A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn w
Zina [9179]

Answer:

The number of standard deviations above the mean is z_o   = 1.4607

Step-by-step explanation:

The question indicates that:

   The average weight of the corn ears from each farm is \mu=1.26

   The standard deviation for the corn ears from Iowa is \sigma_1

   The standard deviation for the corn ears from Ohio is

     \sigma_2= 0.01 + \sigma_1

     

  A randomly chosen ear of corn from Iowa weighs  x =  1.39 pounds

  The standardized score is  z = 1.645

  The weight of a randomly chosen ear of corn from Ohio measures  x_1 =  1.39\ pound

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

        z  =  \frac{ 1.39 -  1.26 }{\sigma_1 }

=>     1.645 =  \frac{ 1.39 -  1.26 }{\sigma_1 }  

=>      \sigma_1 =  \frac{ 1.39 -  1.26 }{ 1.64 5}  

=>      \sigma_1  =   0.0790  

Conversely, the standardized score of corn weight from Ohio is expressed as:

         z_o  =  \frac{ 1.39 -  1.26 }{\sigma_2 }

=>     z_o=  \frac{ 1.39 -  1.26 }{0.01 + \sigma_1 }  

=>      z_o =  \frac{ 1.39 -  1.26 }{  0.089}  

=>      z_o   = 1.4607

A positive value indicates this quantity represents the number of standard deviations above the mean.

4 0
1 month ago
DOPO
AnnZ [9104]

Response:

$144,843.5

Detailed explanation:

In this scenario, we will utilize the compound interest formula

A= P(1+r)^t

A = final amount

P = initial principal

r = interest rate

t = number of periods

Given parameters

P= $27,000

R= 7.25%= 7.25/100= 0.0725

T= 24

A=27000(1+0.0725)^24

A= 27000(1.0725)^24

A= 27000*5.364

A= $144,843.5

By the end of 24 years, her account balance will reach $144,843.5

5 0
15 days ago
Which of the following equations correctly represents the law of sines?
Leona [9271]
The Law of Sines can be expressed as
b/sin(B) = c/sin(C)

Next, multiply both sides by sin(B).
This leads to b = (c*sin(B))/sin(C)

Thus, the correct response is C.

Answer: C. (c*sin B)/sin C
5 0
1 day ago
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