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steposvetlana [31]
3 years ago
5

In the given figure, find AB, given thatAC = 14 andBC = 9.

Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

Given:

AC = 14      and       BC = 9

AB = ?

Solution:

From the fig:

AC = AB + BC

Putting the values

14 = AB + 9

AB = 14 - 9

AB = 5

(you can also take AB = x or any other variable)

Step-by-step explanation:

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Zack wants a new skateboard that costs $98. He has a coupon for 20% off the original price. The sales tax is 6%, what is the fin
svet-max [94.6K]

The final cost of skateboard will be $83.10

Step-by-step explanation:

Given,

Cost of skateboard = $98

Coupon = 20% off

Amount of discount = 20% of cost of skateboard

Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6

Cost of skateboard after discount = Cost of skateboard - Amount of discount

Cost of skateboard after discount = 98 - 19.6 = $78.4

Sales tax = 6%

Sales tax amount = 6% of discounted price

Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70

Final cost of skateboard = Discounted price + Sales tax

Final cost of skateboard = 78.40+4.70 = $83.10

The final cost of skateboard will be $83.10

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/9533500
  • brainly.com/question/9527632

#LearnwithBrainly

7 0
3 years ago
Help me solve this pleaseeee
MaRussiya [10]

Answer:

f(n) = 6n + 12

Step-by-step explanation:

There is a common difference in consecutive number of seats, that is

42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 6 , then

f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12

5 0
3 years ago
∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.)
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Answer:

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Step-by-step explanation:

ΔABC and ΔFDE are congruent by the postulate SSS

Equate the congruent sides in the 2 triangles

BC = ED, that is

x + 3 = 14 ( subtract 3 from both sides )

x = 11

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

DF = AB, that is

x - y = 3 ← substitute x = 11

11 - y = 3 ( subtract 11 from both sides )

- y = 3 - 11 = - 8 ( multiply both sides by - 1 )

y = 8

6 0
3 years ago
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Answer:

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Answer:

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