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Ghella [55]
2 years ago
9

After allowing 20% discount on a marked price 13% VAT was levied on an article. If it was sold for 7232 dollars, what was the ma

rked price of the article?​
Mathematics
1 answer:
katen-ka-za [31]2 years ago
5 0

<u>The marked price of the article was $7865</u>

​Answer:

solution given:

let marked price be x=?

discount =20%

vat=13%

selling price =$7232

we have

<u>discount amount=discount % of marked price</u>=20/100*x=0.2 x

and

<u>vat amount = vat% of selling price</u>=13/100*$7232=$940.16

we have

<u>Selling price with tax  =marked price - discount amount + vat amount</u>

$7232=x-0.2x+$940.16

$7232-$940.16=x-0.2x

0.8x=$6291.84

x=$6291.84/0.8

x=<u>$7864.8</u>

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The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees
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Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

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A skydiver was at an elevation of 17,833 feet. One minute later, she was at 4,297 feet. Find her average change in elevation per
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Find the measure of Angle B<br><br> A. 50°<br> B. 55°<br> C. 60°<br> D. 65°
kondaur [170]

Option B. 55° is the correct answer

Step-by-step explanation:

"The sum of interior angles of a triangle is always 180°"

Given

m∠A=(3x+1)°

m∠B=(2x-1)°

m∠C = 40°

We know that

m∠A+m∠B+m∠C=180°

Putting the values of angles

(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\

Subtracting 40 from both sides

5x+40-40=180-40\\5x=140

Dividing both sides by 5

\frac{5x}{5} = \frac{140}{5}\\x=28

We have to find Angle B,

So

m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°

Hence,

m∠B=55°

Option B. 55° is the correct answer

Keywords: Triangle, Interior angles

Learn more about triangles at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#learnwithBrainly

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