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netineya [11]
3 years ago
8

1. Your state charges 5% sales tax on nonfood items. You're buying a light bulb for $3.00, cereal for $2.50, and an orange for $

.50. What will be the grand total of your bill?
Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

The total bill will be $6.15.  

Step-by-step explanation:

The problem tells us that the 5% sales tax is only charged for non-food items.  For the three items purchased, only one is non-food which is the light bulb.  The cost of the light bulb is $3.00.  In order to find the total after adding 5% sales tax, we can take the cost and multiply by 1.05, which is the original cost plus the additional 5%.  3 x 1.05 = 3.15.  To find the total bill, you need to add the cost of the light bulb, after tax, plus the cost of cereal and an orange:  3.15 + 2.50 + 0.5 = $6.15.  

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EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

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3 years ago
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x and 118 form a linear pair (added up, they both equal 180 degrees)

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