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Aleonysh [2.5K]
3 years ago
10

Quadrilateral ABCD is the result of a translation of quadrilateral EFGH. Segment EF is parallel to segment HG in the pre-image.

Select from the drop-down menus to correctly complete the statement. Segment EF is parallel to segment HG in the pre-image.
Mathematics
2 answers:
serg [7]3 years ago
8 0

Answer:

The corresponding segments <u>BC</u> and <u>AD</u> in the image are <u>parallel</u>.

I agree with this person, he/she is correct.

dimulka [17.4K]3 years ago
7 0
Translations of figures preserve the lengths and angles of the original figures, then all the segments of the image figure are parallel to correspondant segments of the original figure.

Then you can state that the same relation between any two sides of the original figure is what you will have for the image.

AB is parallel to HE

AD is parallel to HG

DC is parallel to GF

BC is parallel to EF


Then is EF is parallel to HG in the pre-image the correspondant segments in the image are parallel too, i.e. BC is parallel to AD in the image.
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Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags
Paladinen [302]
Let's start by writing a system of linear equations:
c -> cookies 
cb -> candy bars
(You can use any abbreviations to your preference)

Abby:
4 cookies 
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25

Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75

So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75

I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.

(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50

      4c + 3cb = $10.25
   -  4c+14 cb = $29.50                    (4c would get canceled.)
---------------------------------
             -11 cb = - $19.25                (Divide by -11 to solve for cb)
</span>             ---------   -------------
              -11           -11
            
             cb = $1.75

Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations. 

  4c + 3 (1.75) = $10.25
  4c + 5.25 = $10.25                       (Multiply 3 by 1.75)
       -5.25       -5.25                         (Subtract 5.25 on both sides)
             4c = 5                                 (Divide by 4 on both sides to get c)
             ----   ---
              4      4
         
         c= 1.25

Check the work:
4(1.25) + 3(1.75) 
  = $10.25

2(1.25) + 7(1.75)
   = $14.75

Total cost:
cookies = $1.25
candy bars = $ 1.75

Hope this helps! :)

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