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ankoles [38]
3 years ago
10

Please Help!

Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0
<span>Answer:
   1. AC = AC [Reflexive property]
 2. <A = <C [Corresponding angles are congruent]
 3. AD = BC [Parallelogram has two congruent opposite legs]
 4. Both triangles are congruent by SAS</span>
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Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

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According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

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Step-by-step explanation:

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