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choli [55]
2 years ago
8

HELP TEST EMERGENCY !!!

Mathematics
1 answer:
stiks02 [169]2 years ago
4 0

Answer:

DG = 17

Step-by-step explanation:

DG and EF are similar so sides are same.

2x - 7 = x + 5

2x - x = 5 + 7

x = 12

So DG = 2x - 7

           = 2(12) - 7

           = 24 - 7

           = 17

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C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
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B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
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